DavidSC wrote:...and I have no idea if it would work if I got one.
To check, whether the cartridge still works, you could measure the resistance of the coils at the connection pins with a multi meter.
In my opinion, these are great sounding cartridges (I have a few of the successors of the AT-35, which are basically the same) and worth keeping. But unfortunately, the selection of suitable replacement styli for this type of cartridge is very limited, because of its unique housing.
Current available original
needles that I know are:Garrard 2671 D
(bonded spherical stylus tip); available for ~ £24AT-35S
(nude (?) spherical stylus tip); available for ~ £25AT-VM35EL
(nude elliptical stylus tip, 0.2 x 0.7 mil); available for ~ £59ATS13
(nude elliptical stylus tip, 0.2 x 0.7 mil); available for ~ £71 (excl. shipping)ATS14
(nude Shibata stylus tip); available for ~ £133 (excl. shipping)
Another suitable option would be the stylus of the JVC 4DT-20X
(audio-technica VM35F). Like the ATS14 it has a nude Shibata diamond tip, but nowadays it is really hard to find.
I know, that some shops in Europe (Thakker.eu for example) have them in stock, but there are also some vendors at eBay, who offer the AT-35S, the ATS13 & the AT-VM35EL stylus.
I hope this helps you a bit further.