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 · 650 / 6,000
2 / 2
Wrath of the Lich King
0 / 5
The Sons of HodirNo standing yet
0 / 2
The SunreaversRevered · 3,285 / 21,000
0 / 2
The Wyrmrest AccordFriendly · 314 / 6,000
0 / 1
The Burning Crusade
11 / 16
Cenarion ExpeditionNo standing yet
1 / 1
NetherwingNo standing yet
6 / 6
Sha'tari SkyguardNo standing yet
0 / 5
The Mag'harUnfriendly · 2,511 / 3,000
4 / 4
Horde
42 / 53
Bilgewater CartelFriendly · 2,438 / 6,000
0 / 1
Darkspear TrollsNeutral · 2,554 / 3,000
6 / 8
OrgrimmarFriendly · 2,334 / 6,000
16 / 18
Silvermoon CityFriendly · 2,154 / 6,000
7 / 9
Thunder BluffNeutral · 2,554 / 3,000
6 / 8
UndercityFriendly · 3,429 / 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.