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 · 1,100 / 3,000
0 / 2
Wrath of the Lich King
2 / 51 to get now
The Sons of HodirNo standing yet
0 / 2
The SunreaversNo standing yet
1 / 2
The Wyrmrest AccordFriendly · 1,090 / 6,000
1 / 1
The Burning Crusade
7 / 16
Cenarion ExpeditionHonored · 10,572 / 12,000
1 / 1
NetherwingNo standing yet
1 / 6
Sha'tari SkyguardNeutral · 44 / 3,000
5 / 5
The Mag'harHonored · 6,464 / 12,000
0 / 4
Horde
43 / 532 to get now
Bilgewater CartelFriendly · 2,641 / 6,000
0 / 1
Darkspear TrollsRevered · 8,066 / 21,000
6 / 8
OrgrimmarRevered · 18,171 / 21,000
16 / 18
Silvermoon CityRevered · 1,017 / 21,000
8 / 9
Thunder BluffNo standing yet
6 / 8
UndercityRevered · 7,330 / 21,000
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.