I can think of several completely broken combos.
>setup with attackM-Kangaskhan's Power-up Punch followed by Double-Edge. M-Lucario's Swords Dance followed by Close Combat. Thundurus's Nasty Plot followed by Thunderbolt.
>anything with ProtectHow about M-Kangaskhan's Seismic Toss followed by Protect? Maybe Breloom's Focus Punch followed by Protect?
>status stackingZen Headbutt + Iron Head + Heart Stamp Jirachi. If my math is right it would have 90,4% chance to flinch.
>Block + memesCould be simple Block with Perish Song and Protect. Could be Block with Growl and Confide.
>Swagger + Foul Play in one turnShedinja: Protect/Endure -> Swords Dance -> Mind Reader -> Final Gambit>>36318714~88% chance to flinch. Less than what I wrote but still insane. The funnier thing would be seeing someone leave because the animation would be too long.