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 ReachNeutral · 750 / 3,000
1 / 1
RamkahenNeutral · 1,000 / 3,000
2 / 2
Wrath of the Lich King
3 / 5
The Sons of HodirNo standing yet
2 / 2
The SunreaversRevered · 10,280 / 21,000
0 / 2
The Wyrmrest AccordHonored · 5,761 / 12,000
1 / 1
The Burning Crusade
16 / 16Complete
Cenarion ExpeditionRevered · 10,351 / 21,000
1 / 1
NetherwingNeutral · 850 / 3,000
6 / 6
Sha'tari SkyguardNo standing yet
5 / 5
The Mag'harHonored · 4,750 / 12,000
4 / 4
Horde
47 / 532 to get now
Bilgewater CartelHonored · 2,559 / 12,000
0 / 1
Darkspear TrollsHonored · 9 / 12,000
7 / 8
OrgrimmarRevered · 1,084 / 21,000
17 / 18
Silvermoon CityNo standing yet
8 / 9
Thunder BluffNo standing yet
7 / 8
UndercityRevered · 5,034 / 21,000
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 20 hours ago. Some mounts may be missing or incorrect still. Please report any issues on the contact page.