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These guys arnt the greatest but its an ok video.
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Some more mixed sword sparring vids.
http://www.rsw.com.hk/videos.htm

I am trying to find some better videos of things like that but it don't look like to many people do these kinds of things.

To be quite honest, there is actually a sword that is more effective than both because it combines the best qualities of both weapons.
The Middle Eastern Scimitar has both the weight and striking force of the european broadsword and longsword, while it also has the balanced curved blade of the katana, allowing it to do far more damage to its target when it slashes.
A Longsword/Broadsword cuts with only a single area of the blade, making its effectiveness as a slashing and cutting weapon rather limited. It has more weight than a katana giving its swings more power, which can be used to knock opponents off balance.
A Katana, because of its curved blade cuts with the full length of the blade between the closest portion to the hilt that strikes the target to the tip of the blade. They have less weight, making them more effective for quick strikes, and serve their purpose best when used in very close range. Yet due to their lack of weight they also lack the force that a broadsword or longsword have behind their swings.
A typical scimitar has the mechanics of both of these weapons. It has the weight of a broadsword or longsword, and the curved blade of the katana. As a result the scimitar has the cutting potential of a katana, and the striking force of a broadsword or longsword.

As far as personal preferences go, I'm more of a fan of the lighter swords that allow for more mobility and can serve as effective offensive or defensive weapons. Rapiers, Sabers, and Katanas are among my favorites, though even so, the scimitar is mechanically the most effecient sword design. Having spent time practicing with my katanas and the time I spent studying Fencing (not too long, i didn't really like the sport, well more accuratly, it wasn't what I was looking for), I have aquired a liking for those kinds of weapons. (I'm still trying to find a decent[preferably hand-forged with good-quality steel] Sakabatou, if anyone knows of any shops that sell them please let me know)

Back to the topic of Longsword -vs- Katana.
It is more a matter of personal preference, and also keep in mind that all it takes is one mistake from either side to loose a duel, regardless of the weapon being used. In some cases a handguard can actually get in the way when fighting, An accurate thrust that connects with the handguard can knock the weapon from the person's hands. Though as I said earlier, it is a matter of personal preference. I've outlined most of the mechanics of the weapons and their designs above and both have their strengths and weaknesses.

Armor is a big factor every one would need to realy under stand it's a major reason the weapons are the way they are. The Katana was created because the Japanese had a hard time against Mongol armor. I don't know how a Katana would do against full plate. Any way we would realy have to think of it as an unarmored duel.

So we are down to the size, shape and use of techniques I feel the long sword offers more options than a Katana and I feel a sword such as a b*****d sword would have a reach advantage. One other thing I have been thinking about is how a Katana would handel a blow from a biger sword I dout it would get into a situation where it could be snaped but a good hard swing would probably not be to good on it. A long sword or whatever has two edges not just one meaning you could use it just as well on the back swing force the Katana down or to the side and than bring your sword right up under the guys chin or acros his head.

The katana would suck against full plate, as would most swords. The idea against full plate is to put enough force on it to crack the plate, hence we have weapons such as greatswords and claymores.

I still just asume go with a mideval broadsword or hand and a half sword. *nods* the Kendo and such are overatted thanks to hollywood. Think about it....who were knights fighting back in the day? Barbarians,brigands,etc,etc,etc....basicly everyone and their brothers...who was japan fighting? Themselfs. They didn't and couldn't possible compare themselfs against other sword styles since they were an isolated nation.

The japanese were forced to use different forging methods from what I have heard witch would have a major effect on how the swords could be made from what I have read the fule for there forges was not as good as in other places. For the most part China and Japan had the same weapons for a long time and being on that island made it hard to make things we see in Europe.

It is a matter of preference and skill than what sword is better because truly it is not the sword that kills for a sword cannot act on its own but its the person who uses their skills and abilities through out a battle and or duel. I myself would choose a katana as a primary style from the japanese above others and my second pick would be a knighly sword. Since I am not tall enough nor have the arm length to wield a great sword / b*****d sword .