What are some songs or albums that transcend their artist or genre?

That would depend on what you define as transcending their genre, but Screamadelica in particular is an oft cited example of a record that is hard to pin down in genre. Just the wikipedia article lists the following genres for that record: Alternative rock, alternative dance, neo-psychedelia, Madchester, dance-rock, acid house.

I love the album to bits, for as much of a hipster as that makes me.