[EvgeniyZh]

Well, I was talking specifically simulations of quantum systems (physical and chemical). Interesting is indeed vague, what I meant systems that people study outside of attempt to create a hard-to-simulate (classically) quantum system. Say, 2D Hubbard model or some 2D topological insulator.

Optimization (VQE, QAOA and stuff like that) also is realizable on NISQ. I'm more sceptical about its usefulness but it is hard to say.

Shor's algorithms is definitely outside of NISQ, I don't think anyone serious about QC thinks otherwise. From there to "no applications for NISQ" is a far fetch.