SHURE ULTRA 500 has it all and fits namely the SME series III perfectly.
Still after thirty years experience and search for the finest cartridge I have listened. Because I have heard and been there, so to speak. One of the very few carts that really sing and shine. Furthermore, it sounds good anywhere, quote by a well known Shure specialist, Dlaloum. Yes I know the SME 309 is somewhat different to my III but I understand what David is talking about. Furthermore, to get the best out of the 500 you need very low total capacitance, input (cable) + inherent capacitance (inside amp). Total of 100 - 150 pF leads you there.
Best of Luck