The premise is simple. Somewhere in the background of a near-future/SF game, you want to have a sporting league going on. Then the characters start getting interested, and you need to come up with team names...
The inspiration is something like the NFL (major American Football league, if you didn't happen to know, and the pattern for American Football teams wherever they are). Teams have a two-part name consisting of the city where they are based and something a little more descriptive. I support the Crewe Railroaders, for example. So here we have one table of descriptors - which are universally violent, Invaders or Wreckers for example - and another which is US cities. If your setting is other than the United States, you will have to substitute other location names from your own setting.
Then there's a neat feature, another table to roll on to select each team's colours. This will be useful for descriptive purposes, either of the game itself caught on a screen somewhere or perhaps there are hordes of fans wearing their team's colours. This could be important: characters might encounter hostility if they have the wrong colour scarf!
In a CyberSpace game I had a Rollerball league (remember the movie?) going on in the background, something like this would have been ideal for making the teams sound realistic. For that matter, you may even want to make it more central to your campaign: maybe one or more of the characters plays in the league, or used to do so... the characters may even be the core of a team, beloved by their fans and hated by those of the other teams. Plenty of scope, ideas spawning... and all from one page!