No fair, Rattata! Slings aren't a melee weapon
My first choice would be some sort of polearm; like a halberd, poleaxe, English/Italian bill, or heck--even a basic spear. Too many people seem to underrate polearms; When I had only 5-6 months of longsword under my belt, I attended a 2 hour spear class at an ARMA event and was already just as good with an 8' spear as I was with a sword. Not that that's saying much, but you get the point. (Pun not originally intended.

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My second choice would be a lovely longsword. (I prefer types XVIIIa and XVIa.)
However my third choice is a tie between an arming sword and buckler and a sidesword and dagger. (For proficiency reasons rather than utility)
A mace would be nice if there was ample use of armour by my enemies...
So Ideally: polearm, longsword/bastardsword, and a dagger in the belt.