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 · 1,000 / 3,000
2 / 2
Wrath of the Lich King
3 / 5
The Sons of HodirHated · 1,300 / 36,000
2 / 2
The SunreaversHonored · 8,242 / 12,000
0 / 2
The Wyrmrest AccordNeutral · 1,235 / 3,000
1 / 1
The Burning Crusade
10 / 16
Cenarion ExpeditionFriendly · 3,191 / 6,000
1 / 1
NetherwingNo standing yet
0 / 6
Sha'tari SkyguardNo standing yet
5 / 5
The Mag'harNo standing yet
4 / 4
Horde
43 / 53
Bilgewater CartelFriendly · 1,762 / 6,000
0 / 1
Darkspear TrollsFriendly · 100 / 6,000
6 / 8
OrgrimmarFriendly · 2,662 / 6,000
16 / 18
Silvermoon CityFriendly · 4,149 / 6,000
8 / 9
Thunder BluffFriendly · 100 / 6,000
6 / 8
UndercityFriendly · 1,762 / 6,000
7 / 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 1 hour ago. Some mounts may be missing or incorrect still. Please report any issues on the contact page.