I have found that 90% of canister Ice cream makers are modeled the same, I have had a Back to Basics, Rival and West Bend Ice cream makers and the lids are interchangeable.
A lot of companies don't make replacement parts so I usually go with the West Bend lid. The first thing you will want to do if find the brand on your Ice Cream maker (usually found on the motor/top) and see if the manufacture does make replacement parts for your machine. If they do not have parts available I would try the West Bend Ice Cream maker lid U66-2, like i said it is a pretty standard size and will fit most Ice Cream Canisters.
Here is a link to West Bends part page: IC10885 Ice Cream Maker
The lid is very inexpensive so even if it doesn't fit your not throwing away a lot of money.
-Colleen @ Mending Shed