I use the Lyman 2500. It has the largest capacity. I also have a Midway tumbler (back when they sold it under their own name) but they no longer make the larger machine.
If there is a larger tumbler I wish someone would let me know. I started with one that had a bowl the size of a half-gallon ice cream bucket. I believe the brand was Vibra teck (or something like that). Way too small! After that I have gone to the other extreme!