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 ReachNo standing yet
0 / 1
RamkahenFriendly · 2,420 / 6,000
2 / 2
Wrath of the Lich King
0 / 5
The Sons of HodirNo standing yet
0 / 2
The SunreaversRevered · 7,447 / 21,000
0 / 2
The Wyrmrest AccordNeutral · 2,145 / 3,000
0 / 1
The Burning Crusade
0 / 16
Cenarion ExpeditionHonored · 2,060 / 12,000
0 / 1
NetherwingNo standing yet
0 / 6
Sha'tari SkyguardNo standing yet
0 / 5
The Mag'harUnfriendly · 2,661 / 3,000
0 / 4
Horde
40 / 534 to get now
Bilgewater CartelFriendly · 5,999 / 6,000
0 / 1
Darkspear TrollsFriendly · 5,999 / 6,000
6 / 8
OrgrimmarNo standing yet
14 / 18
Silvermoon CityRevered · 5,407 / 21,000
7 / 9
Thunder BluffFriendly · 5,999 / 6,000
6 / 8
UndercityFriendly · 5,999 / 6,000
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 5 hours ago. Some mounts may be missing or incorrect still. Please report any issues on the contact page.