You missed a guy named Bobby Fischer, for one - a rather big name in chess history I would say. He was arguably a major driving force in turning chess into a professional discipline outside of the USSR.
As for computers, they've certainly changed the landscape tremendously, but it doesn't mean that players simply play like chess engines. You don't just get to transfer the chess engine heuristics to a human mind. Chess engines help players find ideas, refutations etc., and they're certainly significant when it comes to opening theory. The role of memorization in opening theory (at the highest level) predates computers though.
Computers have also levelled the playing field, improving (buzzword alert) inclusiveness. Players from countries with flourishing chess tradition, such as Russia, don't have the inherent advantage anymore. That's why the current top 2 (on the rating list) are from Norway and China, which would be rather unlikely a few decades ago.
