OK, here's my faves.
Best Beach/Old Town bar: the Guinness Bar
Primarily for its seafront location. Looking out on the beach, the island and peope strolling by. Friendly staff too
Best Hotel bars : Pueblo, Presidente and Marina
Yup, I like places you can sit out on.
Best New Town bar; Cafe Benidorm
I like the music, mixed ages and atmossphere. Especially good in wee small hours.