I'm pretty sure Freelancer got most of them except the equipment passive but since the class can equip everything from the go it';s a moot point. I know Mime definitely has to use the Equip Item abilities because they can't naturally use Knight Swords and stuff which is why the Freelancer class is always chosen for the famous Dual-Wield/Spellblade/X-Fight combo.

Yeah, according to this, Freelancer gets all innate skills except three of them and two are from the Advance version.