Every LSA who has achieved an SLSA ticket has had to adhere ASTM F2245, otherwise know as the Industry Consensus Standards. In F2245 Spins, Spinning and Spin Resistance is addressed; F2245-12-4.5.9 to be exact. 4.5.9.4 states "For those airplanes which the design is inherently spin resistance, such resistance must be proven by test and documented. If proven spin resistance, the aircraft must be placarded "no intention spins" but need not comply with 4.5.9.1-4.5.9.3."
Spin resistance was clearly addressed when 2245 was being composed, subsequently approved by ASTM and thusly accepted by the FAA. You don't design an aircraft and see what category it falls after its built. Every designer has the choice to design their aircraft to be spin resistance or not and the rules are clearly spelled out in ASTM F2245.
To answer your question, several LSAs meet the spin resistance requirements as spelled out under F2245, AirCoupe and Teckem (excuse the spelling)to name two but there are more out there.