Here's a pack of league and tournaments logos. I've updated many logos from an old logopack for FHM3, so most of the credit goes to the creator of the original pack.
FHM4 League and Tournaments logos
To install in your current game, extract to your \saved_games\your saved game name.lg\graphics folder.
You can also extract it to your \quickstart_games\OpeningDay.quick\graphics folder so that it will be used every time you start a new game.
Here's a preview of some updated logos.