Pandaren mounts are available on their corresponding race. Create a new character and you can get them without the standing.
Cataclysm
0 / 3
Hellscream's ReachNo standing yet
0 / 1
RamkahenNeutral · 0 / 3,000
0 / 2
Wrath of the Lich King
3 / 5
The Sons of HodirNo standing yet
2 / 2
The SunreaversHonored · 3,060 / 12,000
0 / 2
The Wyrmrest AccordFriendly · 1,257 / 6,000
1 / 1
The Burning Crusade
16 / 16Complete
Cenarion ExpeditionHonored · 550 / 12,000
1 / 1
NetherwingNo standing yet
6 / 6
Sha'tari SkyguardNeutral · 0 / 3,000
5 / 5
The Mag'harNo standing yet
4 / 4
Horde
33 / 539 to get now
Bilgewater CartelHonored · 7,827 / 12,000
0 / 1
Darkspear TrollsHonored · 10,099 / 12,000
6 / 8
OrgrimmarHonored · 10,592 / 12,000
14 / 18
Silvermoon CityHonored · 2,349 / 12,000
0 / 9
Thunder BluffHonored · 2,809 / 12,000
6 / 8
UndercityHonored · 9,572 / 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 6 hours ago. Some mounts may be missing or incorrect still. Please report any issues on the contact page.