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
RamkahenHonored · 3,067 / 12,000
2 / 2
Wrath of the Lich King
4 / 5
The Sons of HodirNo standing yet
2 / 2
The SunreaversNeutral · 2,635 / 3,000
1 / 2
The Wyrmrest AccordNo standing yet
1 / 1
The Burning Crusade
16 / 16Complete
Cenarion ExpeditionNo standing yet
1 / 1
NetherwingNo standing yet
6 / 6
Sha'tari SkyguardNeutral · 2,157 / 3,000
5 / 5
The Mag'harHonored · 6,442 / 12,000
4 / 4
Horde
48 / 53
Bilgewater CartelHonored · 1,431 / 12,000
1 / 1
Darkspear TrollsHonored · 11,210 / 12,000
7 / 8
OrgrimmarRevered · 1,833 / 21,000
17 / 18
Silvermoon CityHonored · 7,858 / 12,000
8 / 9
Thunder BluffFriendly · 100 / 6,000
7 / 8
UndercityHonored · 4,123 / 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, 5 days ago. Some mounts may be missing or incorrect still. Please report any issues on the contact page.