Pandaren mounts are available on their corresponding race. Create a new character and you can get them without the standing.
Cataclysm
1 / 3
Hellscream's ReachNo standing yet
0 / 1
RamkahenRevered · 20,331 / 21,000
1 / 2
Wrath of the Lich King
0 / 53 to get now
The Sons of HodirNo standing yet
0 / 2
The SunreaversFriendly · 2,129 / 6,000
0 / 2
The Wyrmrest AccordNo standing yet
0 / 1
The Burning Crusade
2 / 161 to get now
Cenarion ExpeditionNo standing yet
0 / 1
NetherwingRevered · 17,350 / 21,000
2 / 6
Sha'tari SkyguardHonored · 2,727 / 12,000
0 / 5
The Mag'harRevered · 6,404 / 21,000
0 / 4
Horde
32 / 5317 to get now
Bilgewater CartelFriendly · 4,873 / 6,000
0 / 1
Darkspear TrollsNo standing yet
0 / 8
OrgrimmarNo standing yet
15 / 18
Silvermoon CityRevered · 16,770 / 21,000
6 / 9
Thunder BluffRevered · 20,332 / 21,000
5 / 8
UndercityRevered · 15,731 / 21,000
6 / 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 7 hours ago. Some mounts may be missing or incorrect still. Please report any issues on the contact page.