Normally I have trouble understanding 90% of anglophone music. Reading the lyrics is the solution...
Also, I would just go chronologically with their discography and give all the albums (apart from maybe the last one) a go.
I loved Funeral. Not immediately, it was really strange and new and special, and it grew on me gradually, but has become an undisputed classic since then. Probably my favorite of theirs. The Suburbs probably has a similar melancholic energy. Neon bible is more edgy and antagonistic while Reflektor is more epic and danceable. They put out at least 3 great albums and 1 very good one so quite an impressive discography....