I get really nice spins out of an LT-40, including some fairly flat flatspins. It's not hard, just move the CG back and increase the rudder and elevator throw. Do that enough, and you can spin anything (once, at least).

The LT-40 has a huge fixed vertical stab which makes it harder to spin than many trainers, but with enough encouragement, it does them. It also helps to enter the spin from a climb, or at least pull the nose hard-up and get to 0 airspeed as the nose drops. Full rudder and elevator as the nose drops (and no ailerons either way), and it drops in to a spin pretty easily.

Btw, moving the CG back also helps with rolls and a lot of the other acrobatic maneuvers, and it makes it easier to flare on landing as well. But it does hurt the slipping a bit, it's easier to get a dramatic sideslip with a nose-heavy trainer. Not that it can't slip tail-heavy, just that it's harder to hold it for a low-slow-sideways pass.