Both those titles you mentioned are true classics which I think any child should have the pleasure of reading! Eric Carle's vibrant illustrations are a delight in The Very Hungry Caterpillar, it's amazing how he captures such an interesting concept in this simple yet engaging story. Paddington Bear's humorous adventures with the Browns are a great introduction to the idea that actions have consequences too - and who can resist that cute little bear with his marmalade sandwiches?
Another series that comes to mind is Julia Donaldson's work, especially "The Gruffalo" and "Room on the Broom." The rhymes and rhythm in her books are so much fun to read aloud and they've got great messages about friendship and bravery too.
Fairytales and Folklore are also wonderful at this age - the classics like Snow White, Little Red Riding Hood, and Goldilocks are accessible versions of timeless tales that help introduce themes of good vs. evil, danger, and stranger danger in a kid-friendly way. Plus, it's fun to talk about the different characters and what makes them brave or villainous!
If you're looking for some local storytelling with a touch of heritage and culture, our very own National Library Board has an assortment of great titles like *My Granite Hills* and *Kiri the Cat Goes to Chinatown*. They're wonderful in embracing singapore's unique multicultural context, which is an added bonus!
These themes and lessons are good starters for 3-year-olds, and the pictures in these books are sure to catch their attention too!