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 · 1,100 / 3,000
0 / 2
Wrath of the Lich King
0 / 5
The Sons of HodirHated · 1,430 / 36,000
0 / 2
The SunreaversFriendly · 1,920 / 6,000
0 / 2
The Wyrmrest AccordNeutral · 858 / 3,000
0 / 1
The Burning Crusade
0 / 16
Cenarion ExpeditionFriendly · 2,327 / 6,000
0 / 1
NetherwingNo standing yet
0 / 6
Sha'tari SkyguardNo standing yet
0 / 5
The Mag'harNo standing yet
0 / 4
Horde
15 / 5327 to get now
Bilgewater CartelHonored · 301 / 12,000
0 / 1
Darkspear TrollsHonored · 1,099 / 12,000
0 / 8
OrgrimmarHonored · 4,294 / 12,000
10 / 18
Silvermoon CityFriendly · 3,515 / 6,000
0 / 9
Thunder BluffHonored · 2,190 / 12,000
0 / 8
UndercityFriendly · 4,317 / 6,000
5 / 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 6 hours ago. Some mounts may be missing or incorrect still. Please report any issues on the contact page.