I should give a heads up, I'm that one random guy that didn't like WoW. Aside from that anyone have suggestions?
You really need to be more specific in what you didn't like and what you do like.
In the F2P you can get a huge range of mmo games from your standard mmo like TERA to Path of the Exile, a Diablo style game, to the Dota2 / League of Legends moba games. Not all are your standard mmo, but since you said you didn't like WoW I gave a few more options since you didn't really specify what you are looking for.
Haven't played all of them, but from what I heard none are pay-to-win but provide perks for paying.
By f2p are you referring to those who also called buy 2 power?
I don't like this industry at all, all those f2p games have built in cash shops which offers grate advantage over those who won't be able to buy these items, I think investing any play in a F2P game is a waste because there will always be that one who got that ultra nova skill from the cash shop.