<--- 27 years in Fairbanks and 6 years in Anchorage.
Definitely make the drive to Seward. Start early. On your way, stop off in Whittier. It's a quick detour. There's not much to see but the drive through the tunnel is an experience and you can hit the Portage Glacier tour on your way back through the tunnel.
Seward has some neat things to check out and if you're going to be there over the 4th you can check out the madness at the Mt Marathon race. (A bunch of psychos run up a mountain and run back down in a controlled crash) They also have a great sea life center there.
On your way back I highly recommend hitting the Double Musky in Girdwood for dinner. Make sure you get there before 6pm though becuase it fills up fast. EXCELLENT food. One of the best restaurants in Alaska. You can also take the tram up to the top of the mountain and hike around. Incredible scenery.
If you do it right, that can easily nail it all in a day. It's a LONG day... but you have enough daylight to make it happen.
Valdez is another drive to make. Stan Stevens Cruises has an all day cruise that takes you to Columbia and Meares Glaciers. It'll blow your mind. Columbia Glacier is just huge. Plan on spending the night. You're not going there and back in one day.
Kenai for fishing. 'Nuff said.
What else... Denali Park is incredible. If you get a chance to see Fairbanks definitely do it. It's an amazing drive. I've made that run a million times (Fairbanks to Anch and back) and it still blows me away. Especially at night. If you time it right you can watch the sun set out of Anchorage and then have it creep back up over the horizon only to set again. Gotta time it just right though and you have to be moving at 70+. No worries since the Troopers all go to bed at 9pm.
If you do go to Fairbanks, try the deck at Pikes, the Pump House (It has a deck too). Both of those restaurants sit on the Chena River. In July it'll be nice and hot, perfect for a cold beer and a steak. If you spend the night there, good luck. LOL... rooms are tight. But if you can, try Pikes or the Princess. Both are on the river and are nice places.
As for where to go IN Anchorage... My favorite places to eat were the Glacier Brewhouse, Moose's Tooth (both places are absolute heaven if you love your beer), Double Musky in Girdwood, Club Paris, Snow Goose, Southside Bistro and HUMPY'S! Blackened Halibut! Hell yeah. DT Anchorage is a lot of fun. 'Koots (Chilkoot Charlie's) in Spenard is a wild place on the weekends... TONS of women. The Peanut Farm is the best sports bar in the state. There is another place downtown... it was just opening as I was leaving... can't remember the name. Skyking or nutdonet probably know what I'm talking about. It's near the Sheraton IIRC.
Anyway... that's all I can come up with.