Pandaren mounts are available on their corresponding race. Create a new character and you can get them without the standing.
Cataclysm
2 / 3
Hellscream's ReachHonored · 625 / 12,000
0 / 1
RamkahenFriendly · 1,290 / 6,000
2 / 2
Wrath of the Lich King
1 / 52 to get now
The Sons of HodirNo standing yet
0 / 2
The SunreaversHonored · 384 / 12,000
0 / 2
The Wyrmrest AccordNo standing yet
1 / 1
The Burning Crusade
0 / 16
Cenarion ExpeditionHonored · 8,207 / 12,000
0 / 1
NetherwingNo standing yet
0 / 6
Sha'tari SkyguardNo standing yet
0 / 5
The Mag'harHonored · 3,147 / 12,000
0 / 4
Horde
41 / 531 to get now
Bilgewater CartelFriendly · 4,232 / 6,000
0 / 1
Darkspear TrollsHonored · 5,387 / 12,000
6 / 8
OrgrimmarRevered · 11,343 / 21,000
16 / 18
Silvermoon CityHonored · 9,620 / 12,000
6 / 9
Thunder BluffHonored · 9,279 / 12,000
6 / 8
UndercityHonored · 5,068 / 12,000
7 / 9
Darkspear Trolls and Orgrimmar and Silvermoon City and Thunder Bluff and Undercity mounts are available on their corresponding race. Create a new character and you can get them without the standing.
Standings come from the last update, about 5 hours ago. Some mounts may be missing or incorrect still. Please report any issues on the contact page.