Pandaren mounts are available on their corresponding race. Create a new character and you can get them without the standing.
Cataclysm
0 / 31 to get now
Hellscream's ReachNo standing yet
0 / 1
RamkahenNeutral · 2,000 / 3,000
0 / 2
Wrath of the Lich King
0 / 5
The Sons of HodirHated · 2,210 / 36,000
0 / 2
The SunreaversFriendly · 4,846 / 6,000
0 / 2
The Wyrmrest AccordNeutral · 487 / 3,000
0 / 1
The Burning Crusade
0 / 16
Cenarion ExpeditionFriendly · 1,567 / 6,000
0 / 1
NetherwingNo standing yet
0 / 6
Sha'tari SkyguardNo standing yet
0 / 5
The Mag'harNo standing yet
0 / 4
Horde
34 / 538 to get now
Bilgewater CartelFriendly · 100 / 6,000
0 / 1
Darkspear TrollsFriendly · 1,000 / 6,000
6 / 8
OrgrimmarFriendly · 100 / 6,000
16 / 18
Silvermoon CityNeutral · 400 / 3,000
4 / 9
Thunder BluffFriendly · 100 / 6,000
6 / 8
UndercityNeutral · 500 / 3,000
2 / 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 4 hours ago. Some mounts may be missing or incorrect still. Please report any issues on the contact page.