All first class recline to some degree if you know how to recline them. (And, of course, if the recline button isn't broken !)

Domestic first class seats on some AA planes, for example, are "articulated", meaning they don't recline into the person behind you, the seat bottom moves forward as you recline so it's your space, instead of someone else's space, that shrinks. On these seats, if you push the button and push against the back of the seat, nothing happens; you have to push the button and push yourself forward (to pull the seat bottom forward) and then it reclines the back. (I've been on planes where people near me didn't know this and thought the seat didn't recline at all until it was explained to them.)

Btw, there are also planes, on multiple airlines, with similarly "articulated" seats in coach.