Pandaren mounts are available on their corresponding race. Create a new character and you can get them without the standing.
Cataclysm
3 / 3Complete
Hellscream's ReachNo standing yet
1 / 1
RamkahenNo standing yet
2 / 2
Wrath of the Lich King
2 / 5
The Sons of HodirNo standing yet
1 / 2
The SunreaversNo standing yet
0 / 2
The Wyrmrest AccordNo standing yet
1 / 1
The Burning Crusade
16 / 16Complete
Cenarion ExpeditionFriendly · 2,135 / 6,000
1 / 1
NetherwingNo standing yet
6 / 6
Sha'tari SkyguardNo standing yet
5 / 5
The Mag'harNo standing yet
4 / 4
Horde
47 / 53
Bilgewater CartelFriendly · 5,990 / 6,000
0 / 1
Darkspear TrollsFriendly · 3,193 / 6,000
7 / 8
OrgrimmarRevered · 12,662 / 21,000
17 / 18
Silvermoon CityHonored · 797 / 12,000
8 / 9
Thunder BluffHonored · 927 / 12,000
7 / 8
UndercityFriendly · 3,193 / 6,000
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, 4 days ago. Some mounts may be missing or incorrect still. Please report any issues on the contact page.