One night (this month), I asked my boy to sing few songs while I recorded them via camera. *Note: Actually I'd like to keep the records of how good he can sing the nursery rhymes at 2.5 years old. Sure he will like to watch his performances in future.
My top picks of English nursery rhymes are The Star (as sung by my boy in the above video clip), Baa Baa Black Sheep and Alphabet Song. These three songs are sharing the same tunes. So easy to sing. They are great to soothe baby to sleep and even to pacify him if he cries.
I believe these nursery songs are ever outdated. They will be continued sung from one generation to another generation.