I've seen (not very recently) two performances of The Nose, once at English National Opera (ENO), and the other from an enterprising Welsh troupe at the Buxton Festival. Very jolly, both times round.
For those who don't like Shostakovich very much, try his entertaining comedy Paradise Moscow. There's a wonderful scene (a sort of polka) when all the neighbours arrive to admire the young people's new flat. The opera tails off somewhat at the end but has lots of good tunes. And then there's his Lady Macbeth of Mtsensk, not unrelated to Shakespeare's play.