It will be challenging to do historically accurate (or functional) within that budget, but you can probably find things with reasonable historical resemblance. If you could stomach getting just one thing and could stretch your budget to $100, you could get something like this:
Hanwei Practical Knightly Sword. You can read the description, but I'll repeat that these swords are made with the reenactor in mind, and from what I hear they are quite durable. If $100 was my budget this is probably what I would get. However, here are some options within your guidelines (I'm just going to use Kult of Athena as a reference because they seem to have the best prices and selection):
MEDIEVAL SWORDS
http://www.kultofathena.com/product~ite ... +Sword.htm
http://www.kultofathena.com/product~ite ... +Sword.htm
RENAISSANCE SWORDS
http://www.kultofathena.com/product~ite ... Rapier.htm
MEDIEVAL DAGGERS
http://www.kultofathena.com/product~ite ... Dagger.htm
http://www.kultofathena.com/product~ite ... Dagger.htm
RENAISSANCE DAGGERS
http://www.kultofathena.com/product~ite ... Gauche.htm
http://www.kultofathena.com/product~ite ... Gauche.htm
VIKING SWORD
http://www.kultofathena.com/product~ite ... +Sword.htm
http://www.kultofathena.com/product~ite ... +Sword.htm
(I know it's more than $50, but it would be better than any of the sub-$50 Viking swords
VIKING DAGGERS
none in your price point
WOODEN SWORDS
any from this site will do, but the Viking one is a bit off as Damien pointed out
ARMOR & SHIELDS
I'd wait on these
Just some ideas based on the photos from the websites, not from personal experience with the merchandise. Please do explore all the features, articles and reviews that can be found on myArmoury. Ask questions on the forums, check out the maker and manufacturer links, etc. The information there and on other related sites will be richer than anything I can type here--you'll learn much more from sources other than online catalog descriptions!
Damien (or others), please feel free to add to, modify, or disagree with any of my choices.
I fell asleep putting my daughter to bed, so I am not very lucid at the moment. Apologies if I am rambling and nonsensical!
Jonathan