Current ones I'm enjoying is Adventure Ages, from the Adventure Capitalist people. It's pretty basic, but has a compelling temporary event loop where you do a semi-unique event that lasts 3-7 days. It keeps the progress very tangible and immediate.
Also enjoyed Idle Apocalypse, which required a bit of balancing as you upgraded things. You weren't just linearly upgrading the best thing, but balancing all of your producers so things could run smoothly.
One of the best I've ever played on iOS or Android is Egg Inc.
The monetization has gotten worse over the years for sure but it's damn satisfying to prestige your farm and make 2 days progress in 15 minutes. IMO if you get the farm contract upgrade (for offline gains increases) as a one time purchase, you can play this one for years.
This is the one I use and I love it, can't recommend it enough. Super comfortable. Slides on and off my switch easily but is still very secure. Doesn't leave any marks or scratches on it. Less than $30 right now. Even comes with a couple thumb stick cushions that are also a pleasure to use.
Anyone who plays handheld semi regularly really needs to get this or something like this. So much better.