Barack Obama (U.S.) and Benjamin Netanyahu (Israel) - obviously very visible recently
Richard Nixon (U.S.) and Indira Gandhi (India) - the G-rated version involves him habitually referring to her as "that witch"
Richard Nixon (U.S.) and Pierre Trudeau (Canada) - of Nixon's tirades against him, Trudeau would say, "I've been called worse things by better people."
What are some others?
I'm not sure we can count the US and India as friendly or allies during this time. Under Nixon, American policy started to more evidently 'tilt' towards Pakistan, which caused India to deviate from its non-aligned policy in favor of a
shift towards the Soviet Union.