Please get into Ergo Proxxy! It takes 5 episodes to get interesting in my opinion, but out of all the works that tackle existential themes, this is the best one I've ever come across (Suck it The Stranger! Suck it Rick and Morty! You may be fun, but you aren't as deep as you think you are).
Though there are many reasons to like the show, I think the main one is basically this: Unlike most existential works that try to make you feel despair upon realizing that the world has no meaning, Ergo proxxy instead does the reverse. It gives you a dead world that truly does have no meaning and teaches you how to find the beauty in it. It's the perfect anime to watch whenever you feel dead inside, when you stop looking towards the future and instead just focus on getting through the current day. To put it a different way, it's a very "introverted" work (if that means anything to you).
Sorry for being so vague in my description. I'm not the best at this and I didn't think sharing spoilers would help sell the show much.
If you do decide to watch the show though, my advice would be not to binge it (except maybe the beginning). I'd recommend just watching an episode or two at night as you relax after a long work day. You're not in a rush to finish it. I found a therapeutic quality in watching that I don't think should be wasted.