Amtrak runs on the same tracks as metrolink, but does not stop in Buena park. You could get a taxi or uber from the Fullerton station if you had to.
Have you considered hiring a car for the day? Even if you'd rather not drive, you can use the car to transfer from Buena Park to the first stop you plan to make in L.A. and just park it there all day. Driving will be faster than taking the train since all trains go to downtown L.A. (which is at the eastern end of our city and is far from most popular tourist destinations).
If you drive, you'll reach downtown in about the same amount of time as the train and you simply have to drive a few blocks from your hotel to Interstate (motorway) 5 and head north. There are no turns to make or confusing directions. If you tell us what you plan to see and do we can be more specific. Car Hire rates are cheap for non-North Americans -- you would probably spend no more for a car than for a train and you'd have more flexibility in terms of coming and going.
I agree, rent (hire) a car for the day for all the reasons mentioned. If you don't want to, also check the schedule for Metro Bus 460 which also goes to downtown LA and may be faster for you than the train. www.metro.net.
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Thank you worth thinking about
Where do you want to go in Los Angeles and what do you want to see?
Be very careful about taking the Metro 460. You want to make sure it goes to where you want to be.
If you need to get to a train station find out if the hotel shuttle will take you there.
Why are we telling people who want to travel by train to get into a car and help jam up our freeways even more? Look around next time you are on the freeway, is there really room for another car in front of you? Or if a thousand tourists read this thread and change their minds....a thousand more cars in front of you?
Metrolink is the way to go, bluemoon! No traffic snarls, no road rage, no annoying gps lady doing her recalculating!