I had a look through my lists and here are 5 (well one is a collection) that my 3yo and I have been reading for quite some time now and we both still enjoy them a lot. The first 2 are more suited for a 2yo

Peepo! by Janet & Allan Ahlberg
Each Peach Pear Plum by Janet & Allan Ahlberg
Tiger Who Came to Tea by Judith Kerr
Library Lion by Michelle Knudsen
Alfie books by Shirley Hughes