Pandaren mounts are available on their corresponding race. Create a new character and you can get them without the standing.
Cataclysm
1 / 31 to get now
Hellscream's ReachNo standing yet
0 / 1
RamkahenRevered · 697 / 21,000
1 / 2
Wrath of the Lich King
0 / 51 to get now
The Sons of HodirRevered · 992 / 21,000
0 / 2
The SunreaversHonored · 7,470 / 12,000
0 / 2
The Wyrmrest AccordRevered · 11,330 / 21,000
0 / 1
The Burning Crusade
0 / 16
Cenarion ExpeditionHonored · 4,687 / 12,000
0 / 1
NetherwingNo standing yet
0 / 6
Sha'tari SkyguardNeutral · 260 / 3,000
0 / 5
The Mag'harHonored · 1,248 / 12,000
0 / 4
Horde
27 / 5316 to get now
Bilgewater CartelFriendly · 5,999 / 6,000
1 / 1
Darkspear TrollsRevered · 295 / 21,000
1 / 8
OrgrimmarRevered · 14,505 / 21,000
14 / 18
Silvermoon CityFriendly · 5,999 / 6,000
7 / 9
Thunder BluffHonored · 11,078 / 12,000
2 / 8
UndercityHonored · 2,927 / 12,000
2 / 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 9 hours ago. Some mounts may be missing or incorrect still. Please report any issues on the contact page.