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
3 / 5
The Sons of HodirNo standing yet
2 / 2
The SunreaversHonored · 4,465 / 12,000
0 / 2
The Wyrmrest AccordNeutral · 325 / 3,000
1 / 1
The Burning Crusade
5 / 16
Cenarion ExpeditionFriendly · 1,429 / 6,000
0 / 1
NetherwingNo standing yet
0 / 6
Sha'tari SkyguardNo standing yet
5 / 5
The Mag'harFriendly · 3,542 / 6,000
0 / 4
Horde
42 / 532 to get now
Bilgewater CartelFriendly · 5,999 / 6,000
0 / 1
Darkspear TrollsNo standing yet
6 / 8
OrgrimmarFriendly · 5,999 / 6,000
16 / 18
Silvermoon CityFriendly · 5,999 / 6,000
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 4 hours ago. Some mounts may be missing or incorrect still. Please report any issues on the contact page.