Most beers are drinkable in 4 weeks or less. Granted, they will generally taste better with some bottle conditioning and aging, but how about an IPA or an APA? Those are best drunk young, and if you use a clean yeast like US-05 or White Labs California Ale yeast (which are typical for West Coast IPAs, APAs, and general pale ales), you could have the fermentation done in 2 weeks, bottled at the 2 week point, then give it 2 weeks to carb up with the priming sugar, then voila! 4 weeks from the brew day and you have a fresh and delicious beer that is best drunk young.
Just as an example, you might want to make a 5% ABV American Pale Ale (a session APA, so to speak) that showcases a single hop variety. One of my personal favorites is Citra. You could either do it entirely with Citra or you could use a different hop for the 60 minute (or 90 minute) bittering and use Citra for everything else (even some dry hopping). I mean, my example uses Citra but there are tons of different hop varieties you could choose from.
Anyway, just an idea. If you don't like pale ales, then obviously this idea won't work. Haha.