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
RamkahenNeutral · 0 / 3,000
2 / 2
Wrath of the Lich King
4 / 5
The Sons of HodirNo standing yet
2 / 2
The SunreaversNeutral · 2,287 / 3,000
1 / 2
The Wyrmrest AccordNeutral · 0 / 3,000
1 / 1
The Burning Crusade
16 / 16Complete
Cenarion ExpeditionFriendly · 750 / 6,000
1 / 1
NetherwingNo standing yet
6 / 6
Sha'tari SkyguardNeutral · 0 / 3,000
5 / 5
The Mag'harNo standing yet
4 / 4
Horde
47 / 53
Bilgewater CartelFriendly · 2,568 / 6,000
0 / 1
Darkspear TrollsNeutral · 2,968 / 3,000
7 / 8
OrgrimmarRevered · 119 / 21,000
17 / 18
Silvermoon CityFriendly · 3,468 / 6,000
8 / 9
Thunder BluffNeutral · 2,968 / 3,000
7 / 8
UndercityFriendly · 2,568 / 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, about 2 hours ago. Some mounts may be missing or incorrect still. Please report any issues on the contact page.