Yes, I've always been into them, but for the most part I dont touch the ones that are most popular.
Not BECAUSE they are popular... I couldnt care less about that. It's just that the mechanics that make those games popular just happen to be things I dont like.
For instance, I cant stand RTS games.... unless they are the sort where you can pause and give orders (I cannot wildly click with a mouse without wrecking my arm, and dont enjoy having to do so anyway). And I've no interest in playing with other actual players. Either the AI can put up a real fight, or I dont bother.
For those reasons, the only RTS I play is AI War. It's pretty much the Dwarf Fortress of strategy games, and as far as I know, the single most difficult thing in the genre... certainly the most complicated, as well. Not for everyone, that game. I havent played it's sequel though, beyond a quick try... something about the visuals in the sequel gives me eye strain just from looking at it.
Sometimes I'll do squad-based games, like Infested Planet. Or strange ones that are a bit hard to stick into one genre, like Creeper World 3 or Particle Fleet.
The Civ series, I THOUGHT I would like... but the AI is absolutely braindead, and it takes forever to do things in that game. Having a unit take 50 billion turns to build just bugs me on a fundamental level. However, I can absolutely see just why people love it. Same with the Total War series (and I do think that series is interesting to WATCH, I just dont like playing it).
Some other games I'm into:
Anno 2070
Bionic Dues (I've a history with this one actually, and there's a difficulty mode literally named after me because I kept telling the dev that it wasnt hard enough yet during development)
Duskers
Dwarf Fortress
Frozen Synapse 2
Into the Breach (this one actually was really popular, and for good reason)
The Last Federation (my first game-dev experience, actually)
Solar Settlers (and every game made by the dev that made this one)
Star Fleet Armada
Also, I'm into board games (solo, not with other players) and for many of them, if they were on the PC instead, they would 100% fall into the "turn-based strategy" category.
There are plenty of others, but those are the ones that occur to me right now.