Pandaren mounts are available on their corresponding race. Create a new character and you can get them without the standing.
Cataclysm
0 / 3
Hellscream's ReachNo standing yet
0 / 1
RamkahenNeutral · 2,200 / 3,000
0 / 2
Wrath of the Lich King
0 / 5
The Sons of HodirHated · 1,430 / 36,000
0 / 2
The SunreaversNo standing yet
0 / 2
The Wyrmrest AccordHonored · 2,325 / 12,000
0 / 1
The Burning Crusade
0 / 16
Cenarion ExpeditionHonored · 8,289 / 12,000
0 / 1
NetherwingNo standing yet
0 / 6
Sha'tari SkyguardNo standing yet
0 / 5
The Mag'harFriendly · 750 / 6,000
0 / 4
Horde
14 / 5330 to get now
Bilgewater CartelHonored · 1,899 / 12,000
0 / 1
Darkspear TrollsRevered · 18,629 / 21,000
1 / 8
OrgrimmarNo standing yet
10 / 18
Silvermoon CityHonored · 671 / 12,000
2 / 9
Thunder BluffHonored · 11,914 / 12,000
1 / 8
UndercityRevered · 11,403 / 21,000
0 / 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, 2 days ago. Some mounts may be missing or incorrect still. Please report any issues on the contact page.