The Rakinakis cut is lovely. It's detailed in a Lost Inner Secrets by Vernon under the heading "Vernon multiple false cut". It's also in Fast Company by Damian Neiman, and in the Castle Notebooks, volume 1. However, note that this isn't a straight cut but is meant to emulate a running cut instead.
A straight false cut I've seen done beautifully is the scrape cut. It's detailed in a number of places (Forte GPS tapes, Weapons of the Cardshark volume 1, Shifts, Hops & Magic Passes by Richard Turner, and by Vernon I believe in Lost Inner Secrets as well). It's dead simple, but hard to do well.