Any of the Cessna 150-172 series would have no problem size-wise landing on even an Invincible-size deck; my personal best in a 152 was 64 paces (my stride probably wasn't quite a metre) with about a 10-15 knot wind. Most light singles would be ok, non-STOL twins would need the carrier to be augmenting the headwind.
The big difficulty would be training non-carrier pilots to get used to a moving runway.
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