Interesting list, Cap. You can see you've put some thought into it. My picks would be something like this:
Aluminum baseball bat: lighter than a wooden bat and more durable. Swinging a bat repeatedly takes a toll; the lighter the bat you use, the better off you'll be. This is my problem with the katana; it may be devastating but those things are heavy (I know, I own two) and while an authentic katana is sharp as hell, it still requires a degree of strength to use well and accurately. If you're going to be using a blade, I would go with a...
Machete: Light, razor sharp, versatile. Good for hacking off zombie limbs, splitting zombie skulls -- and chopping timber for a campfire. Keep a sharpening slate with you and you've got yourself one of the most versatile and deady bladed weapons around.
LAST RESORT MELEE WEAPON: Brass knuckles. One solid shot with a pair of these infamously brutal bad boys will break bone; put some real effort into it and you can take a jaw off at the hinge. A bit heavy for their size but if you know how to fight, they're invaluable for dishing out devastating damage.
I thought about the crossbow but realistically, there's no guarantee you'd be able to retrieve every bolt you shot. So I went with...
Sawed-off shotgun. You can get a shotgun in just about any Wal-Mart of K-Mart you find. Hack a few inches off the end of the barrel to widen the shot range and while the further away your enemy is the less damage it'll do, you can still blow in half any man (or zombie) within twenty or so feet of you. Shoot a zombie in the head with it and it's instant red mist.
Glock pistol: Light in weight with a short recoil and accurate. Used mostly by law enforcement but in a zombie apocalypse, I doubt you'd have any trouble acquiring one from one of the many dead cops sure to be lying around.
LAST RESORT MID-RANGE WEAPON: Derringer pistol. If you're in a tough spot that you're just not going to get out of and are a defeatist who doesn't want to go down swinging, this very small and compact but powerful enough pistol will let you put one through your own brain so you don't have to feel the pain of hungry teeth tearing into your skin. Personally I'm the "go down fighting" type but hey, you never know.
And that's it. I wouldn't bother with any long range weapons like rifles; it's about survival, not picking off as many zombies as you can. The stuff I listed would, I think, be enough to get me out of any sticky situations and give me enough room to make a hasty retreat.
One thing you didn't specify, though, would be a method of transportation. I'd go with either an SUV or a panel van: something with a strong engine but which supplies quick entry and enough room to load your gear and supplies.