For me Star Fleet Battles by far. Been playing it since June 1982.
I wanted the movie era ships to be in the game and hoped that he expansions were doing that. I got sick of all the legal crap cramping and straightjacketing a excellent came by far. As a result I almost exclusively stuck to playing the TOS races...Federation in particular. The ship I mostly will game is a Fed CAR+ since it is the most firepower allowed in a TOS CA hull. Mostly played the CA and then branched out into running full fledged battlegroups for a while. It was a thrill but a mental drain having to bookkeep all the little things on top of the usual allocation and running the movement chart and the damage chart. My favorite ship is the Fed BCG with the additional 2 heavy weapon's launchers on the dorsal making it in essence a light dreadnought without having to suffer the dreaded breakdown from firing all it's weapons due to being a overgunned hull. I very much wanted to see the Frans Joseph stuff become part of the official TOS Trek canon and universe. I love the Tug and Dreadnought as logical mix and match modular extensions of the component design philosophy of the CA in TOS. Cookie cutter...but logical econimcally punching out alot o fhte same and dressing each component out differently for each role. Makes alot of sense to me as far as getting the most out of the least expenditure.
I took a look at the FASA stuff...hated it. TO me it dripped of bogus as far as a beleivable game system that closely emulated the ship combat in TOS Trek. It tasted for me more like a different alternative drummed up and endorsed by Paramount so as to dis-establish Star Fleet Battles and bury it. But it seemed so different that it caused for mea severe disconnect from TOS that I could not force myself to play it after a few trial sample games.
I dabbled with Frans Joseph's Star Fleet Battle Manual. I still have my copy of it here with me. I like the fact that game as early as it was was a freeboard miniatures tactical game. I still have 99% of my 1980's Starline 2200 miniatures that Task Force Games relased. The tactical setup for the game I think mirrors TOS Trek in a more true way, but reveals some of hte glaring drawbacks of a puristic game emulation of the TOS Trek universe that Stephen Cole had to give redress to when SFB went public in 1977. ( like the Romulan plasma in the FJ SFBM where it is a point and shoot line of sight weapon, whereas in SFB it is a seeking weapon as to give redress to the Romulans being weak tactically to where an opponent cannot just step aside and let the plasma walk right past you.
Never had the appetite to play the computer games.
AS OF THE PAST FEW YEARS I have been writing a 12 part Starship Exeter mini-series that uses my Star Fleet Battles insight about ship combat and ship management in the stories. So far the first 7 stories are completed. They are posted at United Worlds with animatics of the first half of the battle. I'll be resuming drawing and photographing the animatics sometime soon.
http://www.starshippolaris.com/forums/showthread.php?t=18333
This is the master page of Links to all of the stories. I've taken a break from writing for a few months and am about to resume writing episode 8 which the first part is in need of some revision.