One of my first ever matches on Team For Glory was where my partner and I were fooling around with dual Captain Falcons. Our enemy was a Ganondorf who seemed interested in playing around with us, and a Toon Link who just wanted to play the game normally. Near the end of the match, while the Ganondorf was recovering, my partner and I both planned to intercept him—my partner went with a Down Air, and I went for a Falcon Punch. When the D-Air hit, it sent the Ganondorf plummeting towards my Falcon Punch, and needless to say, it KO'd him. I couldn't manage to recover, but boy, did that feel great. We all taunted because of what just happened, except for the Toon Link, who was still focusing on the match. We ended up losing, but we ended up winning in style.
This was before the Replay-to-YouTube feature, so I had to record off my phone at the time. However, a couple of months ago, I made the mistake in choosing to delete my YouTube channel to recreate a new one, so all of my replays of Smash 4 are now gone. It only exists as a mere memory now.
There was this other time where I had a Marth as a partner, and fought against another Marth and an Ike. Overall, it was a really enjoyable match.
Wasn't there the Global Smash Power? Granted, it was only used for solo play modes and not multiplayer, but I think that still counts as "some sort of system to track how you play and how good you play".