3. The 2012-13 San Antonio Spurs
After missing the NBA Finals for five straight seasons, the 2012-13 Spurs were the team that finally made it back. Tony Parker having his best year had a lot to do with it -- as well as a 36-year-old Duncan playing like he was 30 again. Add in a strong supporting cast that included Danny Green, Kawhi Leonard, Boris Diaw, and Tiago Splitter, and it's not surprising that they won 58 games.
Unfortunately, they were matched up against a historic Miami Heat team that won 66 games, were the defending champions, and had the league MVP. Despite that, the Spurs clearly outplayed them, but they blew a 10-point lead in the fourth quarter of Game 6 and lost in overtime.
Then, the Spurs blew several chances to tie or take the lead in the fourth quarter of Game 7. Overall, the Spurs lost the series more than the Heat won it, but they were able to avenge their devastating loss in the 2014 NBA Finals.
2. The 2016-17 San Antonio Spurs
Although they were not as talented as the previous year's team, the 2016-17 Spurs may be the best Spurs team to never win a title. That team won a staggering 80% of their games, but the 2016-17 Spurs went further in the playoffs and might've won it all had it not been for an injury to their best player.
They were led by Kawhi Leonard, who had emerged as a superstar, and LaMarcus Aldridge, who was the team's second-best player. Surrounding them were mainstays like Green, Parker, Ginobili, and Patty Mills, plus newcomers like Jonathon Simmons, Davis Bertans, David Lee, and Pau Gasol. Armed with a superstar, a deep team, and a dominant defense, the Spurs made the West Finals and faced off against the defending champions, the Warriors.
The Spurs got out to a big lead in game one and looked like they might be better than the defending champs. Then Zaza Pachulia happened. He caused Leonard to miss the rest of the series and, just like that, one of the Spurs' best teams was swept. What an anti-climactic way to end a great season.