It depends on the game. Though sometimes I like the hybrids most, like Halo, Far Cry, Deus Ex, the upcoming Cyberpunk 2077, etc. You know where most of the gameplay might be first person, unless you enter cover or get into a vehicle. Then it shifts to third person.
I really hate first person games which is why I've become less and less interested in (newer) games. I've never been good at following the camera (definitely some unknown neurological issue) but I remember when Super Mario Galaxy first came out I thought "ok, this is RIDICULOUS" and ever since then I gave up lol.
I definitely prefer third person unless it's a really good fps like Far Cry. As a melee combat action game fan, games like Devil May Cry, Bayonetta, Metal Gear Rising, and even God of War really make 3rd person enjoyable
It depends on the genre for me, and if there's any interesting twists that work into either perspective.
I love how immersive first person can be and it works very well in cases where you're interacting a lot within enclosed spaces and working field of view into the mechanics (like peeking around corners and slowly opening doors with the mouse in stuff like Amnesia).
Third person is awesome for cinematic styles and games where rapid fire situational awareness is important, like Devil May Cry.