I know you said 'currently running,' but I honestly don't think there's any TV shows out right now that I'd care to give unlimited funds. Either they don't need it, don't deserve it, or already have it.
Now, if we're talking new TV shows, I got 2 picks.
Pick 1 - Stargate: Homeworld Command. It would pick up after the final events of Atlantis, and deal primarily with the Milky Way galaxy (Though, with their Intergalactic Hyperdrives, they could go to Pegasus and Ida). it would focus on the ever growing fleet of Earth ships, and their interactions with the Lucian Alliance, the new Jaffa nation, and the the remaining Wraith (Plus other, newer threats). I always liked StarGate, and I always liked how they handled CGI and space battles. More money=more goodie.
Pick 2 - Imperium (A W40K Story) - A show that follows the exploits of an Imperial Army and its appointed Imperial Navy Fleet as they wage war across the stars against the enemies of the Emperor, occasionally crossing paths with the more exotic members of the Imperium (Inquisition, Space Marines who's armor is not colored ultramarine blue). Need I say more?