[V__]

Here is a nice version of those puzzles, but more responsive: http://medmunds.github.io/puzzles/

[eru]

https://www.puzzle-bridges.com/ also has a lot.

[sph]

Love those from Puzzle Team.

Any recommendation for an iOS app with this many curated puzzles, possibly without annoying ads or in-app purchases?

[eru]

Some of the Puzzle Team's puzzle work ok-ish in a web-browser on mobile. (You can pay them a dollar a month to remove the ads.)

[omoikane]

Looks like this version is lagging behind slightly (doesn't have "Mosaic" yet), and the "custom" game types are not available.