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 ReachNeutral · 250 / 3,000
0 / 1
RamkahenNeutral · 1,000 / 3,000
2 / 2
Wrath of the Lich King
1 / 52 to get now
The Sons of HodirHated · 1,300 / 36,000
0 / 2
The SunreaversNo standing yet
0 / 2
The Wyrmrest AccordNeutral · 1,105 / 3,000
1 / 1
The Burning Crusade
11 / 16
Cenarion ExpeditionRevered · 12,292 / 21,000
1 / 1
NetherwingNo standing yet
6 / 6
Sha'tari SkyguardNo standing yet
0 / 5
The Mag'harHonored · 2,178 / 12,000
4 / 4
Horde
45 / 531 to get now
Bilgewater CartelHonored · 3,159 / 12,000
0 / 1
Darkspear TrollsFriendly · 5,999 / 6,000
6 / 8
OrgrimmarNo standing yet
17 / 18
Silvermoon CityHonored · 2,046 / 12,000
8 / 9
Thunder BluffHonored · 1,015 / 12,000
6 / 8
UndercityFriendly · 5,999 / 6,000
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 3 hours ago. Some mounts may be missing or incorrect still. Please report any issues on the contact page.