My 1995 chrysler new yorker wont start. i turn key and get nothing. battery is charged and starter does not crank.

Which engine do you have?
your starter may be hard to reach, but first check the harness and the starter connections, when you turn the key to start you should have power to the smaller wire on the solenoid, and you should have power at the larger wire at all times,
if no power to the smaller wire with key turned, check the start relay in the fuse box under hood, there may also be a fuse in conjunction with it, check it also, swap relays to test, the fan and horn relays are often the same,
check engine ground
test all the fuse-able links near the positive connection on your battery
test power to and from the ignition switches
if power at both wires on starter solenoid and no crank you have poor connections at starter or a bad starter solenoid, (solenoid is mounted on starter)

If the dash lights up, but no crank, it could be the anti-theft system, or the neutral safety switch, among other things.
Have you tried cranking it in neutral ? Do you have power at the starter post ?
Does everything else work when you turn the key on ?