Pandaren mounts are available on their corresponding race. Create a new character and you can get them without the standing.
Cataclysm
2 / 3
Hellscream's ReachNo standing yet
0 / 1
RamkahenNeutral · 1,100 / 3,000
2 / 2
Wrath of the Lich King
0 / 5
The Sons of HodirNo standing yet
0 / 2
The SunreaversNeutral · 1,551 / 3,000
0 / 2
The Wyrmrest AccordNeutral · 357 / 3,000
0 / 1
The Burning Crusade
3 / 16
Cenarion ExpeditionFriendly · 5,018 / 6,000
0 / 1
NetherwingNo standing yet
1 / 6
Sha'tari SkyguardNo standing yet
1 / 5
The Mag'harNo standing yet
1 / 4
Horde
16 / 5326 to get now
Bilgewater CartelFriendly · 4,707 / 6,000
0 / 1
Darkspear TrollsHonored · 4,413 / 12,000
0 / 8
OrgrimmarHonored · 2,971 / 12,000
9 / 18
Silvermoon CityFriendly · 1,449 / 6,000
2 / 9
Thunder BluffFriendly · 4,273 / 6,000
1 / 8
UndercityFriendly · 2,168 / 6,000
4 / 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 2 hours ago. Some mounts may be missing or incorrect still. Please report any issues on the contact page.