The best fighting games like Mike Tyson's Punch-Out are Punch-Out Wii, Super Punch-Out and Sifu. Below are 7, each with the reason it is here — and, at the end, what filtering to fighting costs you.
Filtering to fighting means you want a contest with a clear answer — you got it right or you did not. It is the right filter when what you liked was reading an opponent.
What you get: A skill ceiling you can actually see yourself climbing, and the shortest feedback loop in games.
What made Mike Tyson's Punch-Out worth playing in the first place is covered on the full list. This page is the fighting part of that answer, and only the fighting part.
The direct sequel, and the best version of the formula.
The SNES entry, faster and with a different rhythm to learn.
A whole game about learning one opponent's tells and executing perfectly.
Martial arts as pattern reading rather than button mashing.
Boss-rush only, and every fight is a memorised pattern.
Reduced to nothing but timed reactions, and it is superb at it.
If you actually did want boxing, this is the one worth playing.
A first few hours that can be discouraging alone. Fighting games are far better with someone at your level than against the internet.
Specifically, these are strong answers for Mike Tyson's Punch-Out that are not fighting games, so they are not on this page:
The full list is on games like Mike Tyson's Punch-Out — 9 picks, no genre filter.
Punch-Out Wii. The direct sequel, and the best version of the formula.
No. Mike Tyson's Punch-Out released on the Nintendo Entertainment System, but a recommendation is only useful if you can play it, so the picks above span platforms and eras. What they share is the genre and the reason.
Much less than they were. Modern control schemes, rollback netcode and real single-player modes have changed the on-ramp completely in the last few years.
One opponent against one, or one against many. They share ancestry and almost nothing else — the picks below say which each one is.
By hand. Each pick was written for the full Mike Tyson's Punch-Out list first, on what the game actually does, and this page is the part of that list that is fighting — never a genre tag lookup, which is how "best racing games like Super Mario 64" used to be a page on this site.
Or read the fighting guide for where to start in the genre generally.