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 ReachNeutral · 750 / 3,000
0 / 1
RamkahenNo standing yet
0 / 2
Wrath of the Lich King
0 / 5
The Sons of HodirNo standing yet
0 / 2
The SunreaversHonored · 5,553 / 12,000
0 / 2
The Wyrmrest AccordNeutral · 0 / 3,000
0 / 1
The Burning Crusade
0 / 16
Cenarion ExpeditionHonored · 2,078 / 12,000
0 / 1
NetherwingNo standing yet
0 / 6
Sha'tari SkyguardNeutral · 0 / 3,000
0 / 5
The Mag'harNo standing yet
0 / 4
Horde
40 / 532 to get now
Bilgewater CartelFriendly · 667 / 6,000
0 / 1
Darkspear TrollsFriendly · 2,145 / 6,000
6 / 8
OrgrimmarFriendly · 667 / 6,000
16 / 18
Silvermoon CityFriendly · 567 / 6,000
7 / 9
Thunder BluffFriendly · 1,000 / 6,000
4 / 8
UndercityFriendly · 667 / 6,000
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 19 hours ago. Some mounts may be missing or incorrect still. Please report any issues on the contact page.