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 HodirNo standing yet
0 / 2
The SunreaversHonored · 5,036 / 12,000
0 / 2
The Wyrmrest AccordFriendly · 1,876 / 6,000
0 / 1
The Burning Crusade
0 / 16
Cenarion ExpeditionHonored · 1,818 / 12,000
0 / 1
NetherwingRevered · 7,162 / 21,000
0 / 6
Sha'tari SkyguardNo standing yet
0 / 5
The Mag'harFriendly · 5,594 / 6,000
0 / 4
Horde
42 / 53
Bilgewater CartelHonored · 3,942 / 12,000
0 / 1
Darkspear TrollsHonored · 4,688 / 12,000
6 / 8
OrgrimmarRevered · 2,955 / 21,000
16 / 18
Silvermoon CityHonored · 481 / 12,000
7 / 9
Thunder BluffHonored · 3,199 / 12,000
6 / 8
UndercityHonored · 3,999 / 12,000
7 / 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 4 hours ago. Some mounts may be missing or incorrect still. Please report any issues on the contact page.