Yum Audio LoFi Tapestop puts classic tape stop and start effects at your fingertips. The third plug-in of the LoFi series has got a couple of tricks up its sleeve.
Granulizer is a fun plug-in that's going to turn your audio inside-out. It's entertaining rather than obscure, and it's sold at a fair price.
There's plenty of room for nostalgic (even dated) sounds in modern production, and Slow Machine is a quick, reliable fix for tape stop effects.