3. Peter Sellers as Hrundi V. Bakshi in The Party (1968)
Peter Sellers was a comedy king, and part of his appeal was admittedly parodying anybody and everything. We also suppose that if an actual Indian actor was cast in The Party, which finds Sellers as a bumbling Indian actor experiencing a classic case of fish-out-of-water during a Hollywood dinner party, the film might have come across as more derivative and racist than it does now.
Most importantly still, The Party is indeed damn funny. But a solid argument can be made that Sir Sellers took his performance a tad too far, crossing the thin line between parody and caricature.