You can gain renown by challenging other teams on Street Pass. You can gain each reward one time, once you reach the corresponding level of renown (as indicated below). Access your awards by pressing START on the map screen, then selecting "Wireless" followed by "Renown Awards."
Glass Sword- 50
Second Seal- 100
Orsin's Hatchet- 150
Seed of Trust- 210
Levin Sword- 270
Energy Drop- 330
Beast Killer- 400
Spirit Dust- 470
Celica's Gate- 550
Secret Book- 630
Longbow- 720
Ephraim's Lance- 810
Goddess Icon- 900
Bullion - 1,000
Speedwing - 1,200
Leif's Blade - 1,500
Bolt Axe - 1,800
Seraph Robe - 2,200
Innes' Bow - 2,600
Mercurius - 3,000
Dracoshield - 3,500
Noble Rapier - 4,000
Tiki's Tear - 4,500
Parthia - 5,000
Sigurd's Lance - 5,750
Talisman - 6,500
Hector's Axe - 7,250
Alm's Blade - 8,000
Micaiah's Pyre - 9,000
Gradivus - 10,000
Naga's Tear - 30,000
Boots - 50,000
Ultimate Emblem - 99,999