I love my yamaha LS9-16. Probably out of the price range for what you intend, but as far as I can see, it's the only mixer on the market that will do more than 16 channels and do it in a rack space.
If you mean in a rack mount format then I believe the Behringer X32 RACK and X32 PRODUCER, the Soundcraft Si Expression 1 and Si Performer 1, the Roland M200i and M300 and the Allen & Heath Qu-16 all can support more than 16 inputs, either alone or with rack mount expansion I/O, in a rack mount format.
obviously I haven't kept up!
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