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
0 / 5
The Sons of HodirNo standing yet
0 / 2
The SunreaversHonored · 2,786 / 12,000
0 / 2
The Wyrmrest AccordNeutral · 1,820 / 3,000
0 / 1
The Burning Crusade
0 / 16
Cenarion ExpeditionHonored · 8,200 / 12,000
0 / 1
NetherwingNo standing yet
0 / 6
Sha'tari SkyguardNo standing yet
0 / 5
The Mag'harNo standing yet
0 / 4
Horde
2 / 5340 to get now
Bilgewater CartelFriendly · 3,412 / 6,000
0 / 1
Darkspear TrollsFriendly · 1,650 / 6,000
0 / 8
OrgrimmarFriendly · 3,337 / 6,000
2 / 18
Silvermoon CityNeutral · 1,950 / 3,000
0 / 9
Thunder BluffFriendly · 1,650 / 6,000
0 / 8
UndercityFriendly · 925 / 6,000
0 / 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, 5 days ago. Some mounts may be missing or incorrect still. Please report any issues on the contact page.