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
RamkahenRevered · 5,000 / 21,000
0 / 2
Wrath of the Lich King
0 / 5
The Sons of HodirNo standing yet
0 / 2
The SunreaversNeutral · 1,287 / 3,000
0 / 2
The Wyrmrest AccordNeutral · 0 / 3,000
0 / 1
The Burning Crusade
0 / 16
Cenarion ExpeditionNeutral · 2,040 / 3,000
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 CartelFriendly · 1,843 / 6,000
0 / 1
Darkspear TrollsFriendly · 3,334 / 6,000
0 / 8
OrgrimmarNeutral · 2,618 / 3,000
7 / 18
Silvermoon CityRevered · 2,950 / 21,000
7 / 9
Thunder BluffNeutral · 2,243 / 3,000
1 / 8
UndercityFriendly · 2,608 / 6,000
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, about 8 hours ago. Some mounts may be missing or incorrect still. Please report any issues on the contact page.