I've never been stationed up there, but managed to go up 4 summer's in a row (2000-2004) on military deployments, so here's my data dump:

We'd go to Seward either right before or during the Silver Salmon Derby. We'd stay at the Army Rec Center and make use of their fish house after each day to clean, vacuum pack, and flash freeze our catch. Every year we went with Ninilchik Charters, taking a boat that fished 6 (and requested Captain Woody) and we always slayed 'em. I heard a rumor that Woody has left and their cust service may not be as good now. We'd also go on a "combo" charter where we'd take gear for Salmon & Halibut..doesn't take too many Halibut too fill up the freezer back home.

If you're into shoulder to shoulder combat fishing, there is always Ship Creek right there in Anchorage. Pretty cheap if you've already got the gear, waders, etc.

Perhaps one of my favorite experiences was going North, towards Denali and stream fishing for Reds on the Little Susitna River. An outfit at Miller's Landing will run you up stream in a fast Jon Boat (which is worth the price alone).

Not that you care, but one year we brought home 1300 lbs of Silver Salmon and Halibut (that was two weekends worth of work by 12 guys). You shoulda seen pallet full of coolers loaded onto the KC-135. Good stuff!!

OK, that's all I know. I'm no expert, but I like to eat Salmon. Speaking of which, when in ANC be sure to eat/drink at Humpy's and also get an outside seat at the Millenium to eat while you watch all the floatplane's take off.