Hi Amanda! (that's my wife's name...)
I'm not sure what you consider to be "typical" excursions, so I can't really recommend anything until I know either what you're looking for, or better, what you're NOT looking for. Can you rattle off some of the excursions you've seen advertised that you're NOT interested in, and maybe I can steer you from there...?
If all else fails, I've had some great vacations hiring a local (cabbie, tour guide, boat skipper, interesting bar patron (not TOO interesting!), etc.) and asking them to show me their town. It does save a lot of time if you can find a few folks that don't mind chatting or eMailing a bit before you arrive so you can save the "get to know you and become friends" time and get strait to the good stuff when you're here...
Otherwise, there's the standard list of ziplines, glacier bus tours, whale watching, helicopter or float plane rides, beer brewery tours, etc. to choose from...
Happy Alaska Travels!
Better not for now... signatures get me banned!