Travelling (broadly) clockwise from Puerto del Carmen.

Puerto Calero: pretty, modern harbour, relatively up-market, sporting several designer clothes shops and lined with bars and restaurants, but still awaiting being fully occupied with shops etc.  Very good small café opposite the Tourist Information centre sells excellent value lunches.  At the opposite end there is a large white colonial style building which is a hotel and restaurant.  There are several Michelin star restaurants in LZ and restaurant ‘Amura’ is excellent, its menu is suitable for a special occasion and the prices reflect this, however, you would still pay at least 50% more for a similar quality meal in the UK. Puerto Calero is home to Catlanza for Catamaran Excursions. Great day out.

Playa Blanca : a growing resort housing the main port to Fuerteventura (an expensive, but short crossing).   Plenty of shops; tends not to be worth shopping around for, e.g. perfume: prices are the same in each of the 10 or so perfume shops!   On the main street there is an excellent small tapas bar (can’t remember the name but is a dark wooden-type building – there aren’t many like this).   There are about 15 tables in al – 5 of which are on a balcony overlooking the sea.   Service is typically manana, but worth it.   For shopping, the town is better avoided on a Sunday as many shops are closed.
Driving to Playa Blanca or back it’s worth going via Femes – a pretty hillside village.  

There are some lovely beaches at Punta Papagayo.  There are no facilities (toilet, snack bar, etc.) and it is a toll road to get there.

El Golfo : Large green lake and impressive rock formation.
Los Hervideros : south of El Golfo on the road towards Lagna de Janubio (salt flats).   The name translates to ‘the kettles’ which describes how the water ‘boils’ around the rocks.   Children need to be a little careful (or perhaps it’s their parents who need to be careful) as some of the steps and pathways are a bit exposed.
Yaiza : if you go through the town rather than on the bypass, on the left-hand side (as you drive towards Playa Blanca) is a large artisan’s shop, with another excellent tapas bar next to it.   The owner’s English isn’t great, but a little Spanish and sign language works well!
The road from Uga towards Timanfaya mountain: the camel rides ‘into the mountains’ start here. It would appear from the road that you ride up into the hills.   Whilst that’s so, as soon as you get out of view of the road you have your photo taken and turn around to come back. For that experience it’s a little over priced.
Timanfaya Mountain : well worth a visit: see water poured into the ground to be blown back as steam, such is the heat from within the mountain.   The restaurant here uses this natural heat to cook all its dishes – at surprisingly reasonable prices.   Sardines and chicken can be recommended.   To go around the mountain you need to take a guided bus (which is included in the park's €9 entry fee).   Off the bus, back at the mountain, again children/their parents need to be careful as the holes are un-shielded and the ground underfoot is naturally hot.
Centro del Visitante (Park Nationale de Timanfaya) .   Comprehensive museum of the history and geology of the island.   Free entry.
LZ30 (Uga to San Bartolome).   This road is a little bumpy in parts but is slowly being resurfaced.   Along this road lie a number of bodegas.   Many of these offer free/cheap tasting, the rose (rosado) the best.
La Isleta : the area around this shore is very rocky and exposed to the Atlantic winds, making some spectacular waves.   At La Isleta you can drive around a little island next to Club La Santa, where the many athletes base themselves for winter training (particularly triathletes).
Famara : a beautiful sweeping sandy beach with some good fish restaurants services by the small harbour.
Haria : this town is set in ‘the valley of the 1,000 palms’ and from here you can take the winding LZ10 up into the hills for some good views.   There is a café/restaurant set at one viewpoint, where coaches often stop.   If you wish to stop (it’s worth it), the cakes are excellent, but sadly the coffee isn’t’!  
Off the LZ10 there is a road leading up to Las Nieves.   The view here is particularly good.   Approach from the Haria side and there is a good road; despite being labelled a ‘green’ road, approach from the Teguise side and it is little more than a dirt track, with perilous potholes.   Avoid!
Guinate : there is a zoo here with many birds and meerkats.   The parrots put on a good show and the café here does good toasted sandwiches, etc.   Admission is quite expensive, but worth it if you spend half a day or more wandering around.
Mirador del Rio : Excellent views across to La Graciosa. Even on a calm day it is windy, so worth taking a jumper.
Orzola : pretty fishing village, numerous good restaurants.
Jameos del Agua : a nightclub/restaurant/theatre crafted out of natural caves.   Open during the day as a tourist attraction. Aim to be there midday and the pool with blind white crabs (a spectacle in themselves) becomes illuminated by the sun.
Cueva do los Verdes : the green caves housing ‘the secret of Lanzarote’ which will be revealed by your tour guide.
Jardin de Cactus : the cactus garden, with numerous varieties (worth a visit even if you’re not that fussed about green stuff!)
Nazaret : home to Lagomar the one-time home of Omar Sharif and now one of the best restaurants on the island (apparently!).   You can stay here for coffee etc. the crafting of the tables out of the rocks and the waterfalls are beautiful.
Fundación César Manrique : the home of the artist whose influence is felt across the island (he was responsible for early planning restrictions which limit the height and style of buildings in an attempt to preserve the island’s character – at the time when building in Tenerife was largely unrestricted).   Manrique also helped design many of today’s tourist attractions and is responsible for the design of the mobiles seen at many of the island’s roundabouts.   His home is crafted out of lava bubbles and is amazing (as much for the 70s décor as for its architectural feats!).   Much of the artist’s work is also on display here.
Teguise : the island’s original capital, prior to Arrecife.   Many tourists visit the town on Sunday, when the market is held.   There are some local goods sold at the market, but also many tourist items and general ‘tat’, and you are unlikely to find a bargain here.   The town is worth a visit on a non-market day, so that you can appreciate the pretty cobbled streets.
Just outside the town is the Castillo de Santa Barbara – perched on the top of an extinct volcano.   There are good views across the island from up here, and you can also visit the museum, set within the castle.   This is a good place to go if the weather is very hot!
Costa Teguise : one of the main resorts built from pretty much nothing except an excellent beach (Las Cucharas) and is now a centre for water-sports.   Numerous restaurants, the best of which is at the other main beach – Playa Bastian – Villa Toledo.   The prices reflect that of elsewhere in the resort, but the quality and presentation is far superior.   The fish and shellfish soup and paellas can be recommended, as well as their excellent range of fish and meats (the T-bone steak went down well with a hungry diner!).
The Playa Bastian beach is quieter and has many areas where shade can be sought, as well as having the usual facilities.
Arrecife : the present capital with shops and bars, etc.   There are a few fortress buildings which are worth exploring if you are in the town, but probably not worth a visit unless you happen to be in the town.
Puerto del Carmen : the main resort stretching 5km from the airport (Matagorda), via Playa de los Pocillos towards the main resort area and round towards the harbour.   Matagorda, whilst somewhat rockier, and Playa de los Pocillos, which is very sandy and shallow, are the quieter areas (except for aircraft noise!).   From Playa Blanca onwards towards the harbour, restaurants and bars line the roads virtually uninterrupted.   One of the best is on the eastern side, not too far away from the casino – Terraza Playa – which is situated down some white and black stone-set steps and is right on the beachfront (address: Avda. de las Playas, 28b; tel: 928510305).   The restaurant staff are particularly child-friendly and the food is excellent, but the restaurant’s reputation is now so well known that it is advisable to book, or to go early in the evening.   There are also some excellent restaurants in the harbour area.