Delaying the introduction one of the 'big three' (I, IV, V) automatically rules out many cliched chord progressions and can create some tonal ambiguity if you're working in a mode.
Ask Me Why, Blackbird, Carry That Weight, Get Back, Honey Pie, It's Only Love, Julia, Piggies, The Long And Winding Road, There’s A Place
Also 505 (Arctic Monkeys), Mad Sounds (Arctic Monkeys), Walk On The Wild Side (Lou Reed)
Ticket 6 - Stay Off The Root Chord
Ticket 40: Don't Use All Seven Notes Of The Scale
Ticket 50: Stay Off The Root Note In The Melody
Tickets To Write - Full list