What scores are generally expected per section (AW/quantitative/verbal) to get my applications evaluated in top/good grad schools? Also, would achieving even better scores be a "plus" or it won't matter at all/that much?
My top-10 CS department does not require GRE scores at all.
For applicants that send them in anyway, the only scores that provide useful information are low scores. Anything below about the 50th percentile is a red flag.
You are aiming at the wrong target. Top grad schools are looking for strong evidence of promise as an independent researcher. Test scores do not provide that evidence.