I play a lot of Dungeon Crawl Classics, which uses a dice chain consisting of a d3, d4, d5, d6, d7, d8, d10, d12, d14, d16, d20, d24 and d20.
Of those, the d5, d16, and d24 get used the most. But that's just because of the specific traits of characters in my main group; in others the d7 and d14 have seen heavy use too.