Guy, I don't know where I found this Melee Quick Reference Sheet, probably 7 or 8 years ago, but I've found it very useful to have at the table:
http://robertsaintjohn.com/TFT/Melee_Quickref.pdf
David Miller has this Weapons/Armor list on one sheet and is also very useful, both as a reference to the GM, and as a "shopping list" for players as they're creating their characters:
http://www.meleewizards.com/Images/melee_weapons.pdf
It's hard to know where to draw the line as to what is best for a screen as opposed to handouts, but I think a player would find some of this more useful as a sheet (printed from PDF should be fine) than on the player side of a screen.
I also love the idea of cards. In my ideal world, players could have cards for everything: a character card, cards for weapons and armor, cards for spells, and cards for items acquired. But I also know much of the old guard would prefer to keep everything on a sheet. And short of making a lot of dry erase cards or multiples of many, it would be a big expensive project outside the scope of this game right now. But if ever there was an RPG that could have done away with the character sheet approach to playing and used cards instead, TFT would be one, IMO.