As a longtime chess and go player, I was just doing some research the other day into what modern abstracts are out there. I was disappointed by how dry I came up. Even if you expand the search criteria to include video games, there just aren't many deeply strategic discrete-time games that weren't invented centuries ago and have players online at any given time. Here I exclude games that are perpetually changing and/…
I think "have players online at any given time" is the tough part there, but it's also the tough part for many non-abstract games. If you look around on Board Game Arena you can see a number of abstract games available, but with many you'll struggle to find any other players. There are some cool abstract games out there, but they're not super popular. Abalone was mentioned in another comment here. Octi is another coo…
There is another aspect to the thing I didn't mention but you did: It may be that the sheer amount of interest in board and video games at large is more to blame for the lack of deep abstracts than is the inherent lack of appreciation for them. In sum total, there are probably games out there currently that could be mechanically fit as a successor to chess or go, but with so many competing games out there (both cerebral and otherwise), even the cerebral gamer is unlikely to pursue them singlemindedly.