I almost always do acquire a favourite class or two, but they tend to be game-specific. Like, I have a friend who will play a Rogue in pretty much any fantasy game, has done for decades, and he'll do it even if Rogues suck (though they sucked so hard in 3.XE it did cause him to branch out to playing Rogue-adjacent casters), and I'm just not built that way.
For me, every game pretty much has a different vision of what exactly the classes are, what they can do, what their vibe is, and so on. Even D&D. Like, D&D is the closest, because in 2E, 4E, and 5E, Bard is my favourite class, and definitely "preferred" (though I've also played plenty of Clerics, Paladins, Druids, Warlocks and others in 5E). In 3.XE I wouldn't have played a Bard with a gun to my head. And the same is true in a lot of close D&D variants, including ones I like! Like Daggerheart, I love DMing that, pretty sure I'd love to play it, would I play the Bard? Absolutely not. Not my vibe - I'd probably actually play a Brawler. Or PF2, which has a bunch of cool classes, would I play the Bard? Probably not. 13th Age either edition's Bard? Nah.
I think what you could probably say across all fantasy/science-fantasy RPGs (which are the ones most likely to have true "classes", by far), you could probably say I usually want to play something which has the following characteristics.
1) Can use some magic or supernatural powers, even if not a huge amount.
2) Isn't the bottom of the barrel in terms of fighting capability (but also doesn't need to be top).
3) Can significantly help/support the party. Not necessarily in a Bard-like buffing way or whatever, but just has something that's going to help us all to succeed, whether that's magic, healing, skills, some combination thereof or whatever. I often end up filling in a role no-one else seemed to want as a result, which is fine with me.
(I notice this latter is true even in non-classed RPGs, like, if we've somehow managed to come up with a CoC party and nobody has Library Use or whatever, I'll make sure to play someone who is good at that.)