Here's a list of weapons you're allowed to own, but not necessarily allowed to keep on your person:
Gauntlet
Dagger
Mace, light
Sickle (usually farmers, or farm hands)
Club
Mace, heavy (church, personal guard, royal guard)
Shortspear
Longspear
Quarterstaff
Spear
Crossbow, light and heavy (church, city guard, personal guard, nobles, farmers with livestock)
Javelins (nobles, manor house for sporting events)
Sling
Hammer, light
Handaxe
Pick, light or heavy (usually farmers, farm hands, or miners)
Shield: light, heavy, or buckler; metal or wood
Sword, short (nobles, personal guard, chivalric)
Longsword (church, nobles, chivalric, royal guard)
Warhammer (church, nobles, chivalric)
Halbred (royal guard)
Lance (nobles, chivalric)
Scythe (farmers only)
Longbow and shortbow (royal guard, nobles, chivalric, sporting events, manor house hunters/guides)
Whip* (beast tamers, jailers, unknown [we don't ask about them])
Bolas (royal guard, chivalric law enforcement)
Net (fisherman, gladiators, manor house hunters/guides, city guard)
*Some places don't fully except people with these because they are considered a slaver, or possibly corrupt law's weapon.
Note: Jailers, personal guard, and royal guard count as city guard for access to weapons.