Some good ones mentioned so far, haven't seen the OP video yet but will later on. I'll add.
Mavericks/Spurs 2006 was a hell of a series. It finally got the Mavs over their in-state rivals for the first time and they won Game 7 on the road in OT to boot. Too bad they got screwed in the Finals that year.
Stockton beating Houston at the buzzer in the 97 WCFs that sent the Jazz to the Finals for the first time.
Suns/Lakers 2006. Kobes game winner in game 4 followed up by Kwame Browns legendary defense in game 6
Shame Steve Nash never made it to the Finals.
Bryant to Shaq in 2000. One could just sense that was the start of a dynasty and it was.
Bulls/Knicks in the 90's. Just nasty, physical play that doesn't exist today.