The best casual games like Chu Chu Rocket are Lemmings, Tetris 99 and Puyo Puyo Tetris 2. Below are 7, 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 Chu Chu Rocket 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.
The same idea slowed down — a crowd you redirect rather than drive.
Puzzle sabotage at ninety-nine players.
The best competitive falling-block game, and it teaches you.
If the elegance of the rule set was the appeal.
Party sabotage where everyone builds the level that kills them.
Block-pushing taken somewhere genuinely new.
Co-op puzzling where the failure is the entertainment.
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 Chu Chu Rocket that are not casual games, so they are not on this page:
The full list is on games like Chu Chu Rocket — 9 picks, no genre filter.
Lemmings. The same idea slowed down — a crowd you redirect rather than drive.
No. Chu Chu Rocket released on the Sega Dreamcast, 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 Chu Chu Rocket 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.