The best casual games like Muse Dash are Rhythm Doctor, Thumper and Spin Rhythm XD. Below are 6, each with the reason it is here — and, at the end, what filtering to casual costs you.
Filtering to casual means you want something you can put down. That is the whole definition, and it says nothing about how deep the game is.
What you get: A game that fits around a life. Short sessions, save anywhere, no penalty for a week away.
What made Muse Dash worth playing in the first place is covered on the full list. This page is the casual part of that answer, and only the casual part.
One button, on the seventh beat, and far deeper than that sounds.
Rhythm violence — the same genre taken somewhere frightening.
The best-feeling rhythm game on a controller, and a superb soundtrack.
By the Rhythm Doctor team, and brutally precise.
Drumming, enormous track list, and works for anybody.
The Dreamcast rhythm game everything stylish here is downstream of.
Momentum, sometimes. A game designed to be left is also a game that is easy to forget you were playing.
Specifically, these are strong answers for Muse Dash that are not casual games, so they are not on this page:
The full list is on games like Muse Dash — 9 picks, no genre filter.
Rhythm Doctor. One button, on the seventh beat, and far deeper than that sounds.
No. Muse Dash released on the Nintendo Switch, 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.
No. Several of the deepest games there are — Tetris, Balatro, Into the Breach — are playable in twenty-minute pieces, and some of the shallowest demand an entire evening.
Often the opposite. Many are built around daily timers and streaks, which means stopping does cost you — the one thing a casual game is not supposed to do.
By hand. Each pick was written for the full Muse Dash list first, on what the game actually does, and this page is the part of that list that is casual — 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 casual guide for where to start in the genre generally.