Platform(s): Commodore Amiga 500. Played in Poland, so it could have come from a copied/PD disk rather than a boxed release.
Genre: Edutainment / activity collection for young kids.
Estimated year of release: Early to mid 90s. I played it around then as a small child.
Graphics/art style: Colourful 2D cartoon art, aimed at preschool age.
Notable characters: My clearest memory is an anthropomorphic cat, drawn as a child rather than a realistic animal. I think there were a handful of characters or objects to choose from, maybe 4–6.
Notable gameplay mechanics: The hub was an indoor room — house or nursery-like, not an outdoor scene. From that room you picked one of several mini-games. The only one I actually remember playing is a jigsaw puzzle, and I believe you got to it by clicking the cat. There were definitely other activities alongside it, I just can't recall what they were.
Other details: Text was possibly English, though I'm not certain. This memory is 30+ years old so individual details may be wrong — the room and the jigsaw are the parts I'm most confident about; the cat is the softest detail.
Already ruled out: The Playroom (right vibe, but no jigsaw and the mascot is a mouse), the Fun School series (menu screens, single mascot, no jigsaw), Noddy's Playtime (has a jigsaw, but the hub is driving around Toytown), ADI Junior / A.J.'s World of Discovery (right structure but the hub is outdoors), Castle of Dr. Brain, Amy's Fun-2-3 Adventure, Pepe's Garden, Reader Rabbit, Barney Bear.