...I'm looking for something to have fun and do some recordings. I don't want something that sound "modern", I want a kit that can do a 60s, 70s type of sound.
You're kind of chasing unicorns here.... can you honestly say that a '07 Strat would sound more modern than a '57 Strat or a '99 Les Paul would sound more modern than a '59 Les Paul (especially via a recording process)?
I'm going to interpret this more like you are looking for a "good" drum sound, which can come from new or vintage insturments. You just have to trust your ears on this one as "good" is subjective and can mean many things to many people.
When evaluating drums use the same kind of mindset you would with buying a guitar (I'm assuming you play guitar). Look for a couple things right off the bat: condition and completeness.
Condition: Would you buy a guitar that was beat up and just how beat up is beat up? This may indicate how it was treated over time (and there is nothing wrong with buying an insturment that has got some "wear" on it). Would you buy a guitar that has an extra hole in it (if you're not interested in collectability then that extra hole aint going matter much, especially if it isn't affecting playability). Is the body/neck straight?
Completness: Would you buy a guitar that was missing a tuning peg or had mis-match tuning pegs? What if it had non-original pick-ups or tremolo bar? Again if you're not buying for collectability then that becomes a non-issue if it doesn't affect the playability or sound.
How do you apply this guitar purchase analogy to that of a drum? Go down the list of components like you would in a guitar and do the condition and completeness assessment. First off, don't be affraid to have the drum taken down/disassembled.
Look for a drum that is round. An out-of-round drum will be more difficult to tune / stay in tune. Bearing edge (this is what the drum head sits on) should be uniform and not chipped, split, mangled or mutilated. This is also a chance to inspect the quality/condition of the drums interior shell. Check the condition of the hardware... the purpose of the hardware is fairly obvious and you just want to make sure it can still perform that function.
Reassemble and tune it up. This may be difficult to get a sound you like if the heads are beat to hell (like stretched out strings), but you should get an idea of the proximity of sound. Again since you're looking mostly for a fun kit just trust your ears and you'll do alright.
If you have any friends that are drummers lean on them to come along and help with the evaluation while your learning about drum kits.