Battles? Only one I can recall is Stamford (or Stanford) Bridge, and that's because someone had to be stabbed in the unmentionables to get to the actual battle.
Makes sense though, difference between warriors and soldiers. Warriors will always lose against a cohesive force.
Stamford is an excellent example of just how effective vikings were at the time. Hardrada's army was caught unaware, with the Anglo-Saxon army originally being more then double their size. They still managed to hold with a shield wall and remove ~half the AS army. This is a very nice example, as both of the armies were pretty much comprised solely of infantry. What won was largely equipment and tactics. Hardrada's axemen could rend the armor of the time, and the defensive shield tactics worked stunningly well.
However, later vikings had less effect vs. the Norman style cavalry charge (You know, when England did what it always does and just became a different people, the French, this time). Time has shown again and again that tactics are what matter. Even equipment doesn't matter vs. better tactics. Such as during the Vietnam War when the US couldn't deal with the hardcore guerrilla tactics of the Vietcong.
But this doesn't matter, what we should focus on from the viking age is that fact that Norsemen settled much of the Northern Atlantic and created legacies that have lasted into the modern day. The vikings created a vast trade network and had ties to many of the superpowers of the medieval world, even the Byzantines had a corps of Norsemen and their descendants. I think... Swedish settles interbred with Eastern Europeans, essentially starting the Rus, the legacy which eventually formed into Russia. The vikings interbred with pretty much everyone in the British Isles, and certainly had some blood mixing in the rest of Europe.
tl;dr The vikings were decent fights, but the focus shouldn't be on the legend of berserk north-men and the fear of longships on the horizon, but the fact that from the 9th to the 11th century, the vikings were the greatest mariners of the time, created a legacy of early colonization, and had a profound impact on all of Europe that continues to this day.
