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
RamkahenFriendly · 4,430 / 6,000
0 / 2
Wrath of the Lich King
0 / 5
The Sons of HodirNo standing yet
0 / 2
The SunreaversHonored · 6,933 / 12,000
0 / 2
The Wyrmrest AccordNeutral · 0 / 3,000
0 / 1
The Burning Crusade
0 / 16
Cenarion ExpeditionHonored · 3,998 / 12,000
0 / 1
NetherwingNo standing yet
0 / 6
Sha'tari SkyguardNo standing yet
0 / 5
The Mag'harHonored · 1,254 / 12,000
0 / 4
Horde
5 / 5337 to get now
Bilgewater CartelFriendly · 801 / 6,000
0 / 1
Darkspear TrollsHonored · 1,283 / 12,000
0 / 8
OrgrimmarHonored · 2,551 / 12,000
3 / 18
Silvermoon CityFriendly · 1,763 / 6,000
0 / 9
Thunder BluffHonored · 8,905 / 12,000
2 / 8
UndercityFriendly · 4,385 / 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, 2 days ago. Some mounts may be missing or incorrect still. Please report any issues on the contact page.