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 · 2,200 / 3,000
2 / 2
Wrath of the Lich King
4 / 5
The Sons of HodirHated · 1,430 / 36,000
2 / 2
The SunreaversHonored · 603 / 12,000
1 / 2
The Wyrmrest AccordFriendly · 432 / 6,000
1 / 1
The Burning Crusade
16 / 16Complete
Cenarion ExpeditionHonored · 30 / 12,000
1 / 1
NetherwingNo standing yet
6 / 6
Sha'tari SkyguardNo standing yet
5 / 5
The Mag'harUnfriendly · 2,533 / 3,000
4 / 4
Horde
47 / 531 to get now
Bilgewater CartelFriendly · 4,726 / 6,000
0 / 1
Darkspear TrollsFriendly · 2,026 / 6,000
7 / 8
OrgrimmarNo standing yet
17 / 18
Silvermoon CityHonored · 1,624 / 12,000
8 / 9
Thunder BluffFriendly · 4,726 / 6,000
7 / 8
UndercityHonored · 5,394 / 12,000
8 / 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 14 hours ago. Some mounts may be missing or incorrect still. Please report any issues on the contact page.