There are a few companies with software or subscriptions, but I can't find anything online for free. It's a lot of data to keep track of: makes, models, trim levels, lengths of leases, mileage. The numbers are updated each month by the manufacturers.
If you're serious about a few certain vehicles, simply ask the dealership for the residual. Obviously, vehicles that hold their values better have the better residual and therefore the lower lease rates. Even then there are exceptions. I'm at a Nissan dealership, and there's usually a certain lease term that is a much better rate than the others (typically the 36 or 39 month lease). Give the dealership a realistic mileage/year estimate and let them figure out the deal that is best.