PSX and PSX emus like ePSXe emulate the vibration (force feedback). You also need a pad & drivers acording that and set up the ff on the ePSXe pad options. Actually many plugins support that, so other emulator using PSEmu Pro plugin specs should work (SSSPSX, PSXeven).

The same for N64 emus, as the plugins are often compatible with zilmar specs (PJ64)