Pandaren mounts are available on their corresponding race. Create a new character and you can get them without the standing.
Cataclysm
2 / 3
Hellscream's ReachFriendly · 2,520 / 6,000
0 / 1
RamkahenNo standing yet
2 / 2
Wrath of the Lich King
4 / 51 to get now
The Sons of HodirNo standing yet
2 / 2
The SunreaversNo standing yet
1 / 2
The Wyrmrest AccordNo standing yet
1 / 1
The Burning Crusade
16 / 16Complete
Cenarion ExpeditionNo standing yet
1 / 1
NetherwingHonored · 10,448 / 12,000
6 / 6
Sha'tari SkyguardRevered · 124 / 21,000
5 / 5
The Mag'harHonored · 3,008 / 12,000
4 / 4
Horde
50 / 531 to get now
Bilgewater CartelFriendly · 5,999 / 6,000
1 / 1
Darkspear TrollsRevered · 3,393 / 21,000
8 / 8
OrgrimmarHonored · 10,521 / 12,000
17 / 18
Silvermoon CityNo standing yet
8 / 9
Thunder BluffRevered · 6,247 / 21,000
8 / 8
UndercityHonored · 8,976 / 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, about 9 hours ago. Some mounts may be missing or incorrect still. Please report any issues on the contact page.