ITT: We complain about the katana because it isn't practical in the modern setting.
Any relatively decent sword you're going to buy with intent to own a weapon and not a display piece will be something you spend four to more than five hundred dollars a pop on in the United States ( ~250+ pounds ). This includes katanas and broadswords / longswords.
Either sword would be excellent against fleshy targets - I watched their demo footage where the guy took apart a rack of ribs like it was paper, and lazily chopped apart a melon like it was made of foam.
I then watched the katana one and it seems to work just as well, if not being more durable in their tests - they bend it to nearly 45 degrees and back, break cinder blocks with the flat edges.
The claymore is intense - it takes apart what looks like a whole side of meat with two hacks and stick it through the hood of a car with what looks like little effort.
"Japan Warrior Sword"
http://www.coldsteel.com/japanwarrior.html
"Viking Sword" Longsword / Broadsword
http://www.coldsteel.com/vikingsword.html
"Two Handed Greatsword" Claymore
http://www.coldsteel.com/twohandedgreat.html
Watch for yourself.
Now, I feel that, as much as I like pointy things, some blunt weapons would do more to add to variety.
More feasible weapons would include:
Baseball bats
Crowbars
Lengths of pipe
Various hammers ( sledge, etc )
Polearms ( wooden staves, metal poles )
But, when it comes down to it, more people are going to have fun with swords than weapons like the ones I've listed above, and is probably why a sword would be added first.
Real swords aren't affordable compared to guns in the grand scheme of things, especially if you intend to actually train people in their usage.
It's the same reason they would add an AK rather than a more tactical weapon ( aside from the somewhat stereotypical availability of them ).
People like having fun.