Yeah I'm trying to remember all the teams we played as over the years...
Mad Decent
MedRed Inc.
Scout Thugz & Harmony
Carnal Gaming (sponsored)
It's Always Sunny on 2Fort
I don't know if you remember vhalin or harbleu, but they weren't on our team but sort of mentored us when we were first starting out. I think vhalin was later banned from competitive play for cheating. Dude was a perfect mentor for us, though. He was an asshole and loved to talk shit, which meshed perfectly with our style.
Sadly, I don't think I have a video of it, but our team (don't remember which one) basically came up with the GOAT strategy on Freight, which we used to win round one of a finals match in one of the leagues. Basically, I went dead ringer spy and disguised as a friendly Medic and allowed myself to be "killed" at the middle point. Meanwhile, our team pretended to fall back while our actual Medic and power classes went through the water to flank the enemy with a kritz. We killed their Medic and I got a couple of backstabs in while they were distracted.
Myself and pancake (my TF2 bff) came up with that strat just for that match. As far as I know no one else has ever tried it, but the other team actually complimented us on it afterward, so we knew it was a winner.
I also had a telefrag in a competitive match once!
As far as my teams go, you probably wouldn't recognize too many of the names unless you remember playing us. Most of our guys came over from the 360 version of the game (me too, as I played that before I finally built a new PC) and I don't think many of them played on other teams aside from the ones we created.
Guys I remember: Roman, icy, Outblaze, pancake, cardboard, dim, engine, jeh, Benjones, digitdaily, Swash
There were others too but it's been a while. I still play with a lot of those guys regularly, just not competitively. Our best competitive team was pancake at Medic, me and cardboard at Scout, dim and roman at Soldier, and outblaze at Demoman. That was a while back, though. Probably like 2009ish.