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
RamkahenNeutral · 0 / 3,000
2 / 2
Wrath of the Lich King
3 / 5
The Sons of HodirNo standing yet
2 / 2
The SunreaversHonored · 4,132 / 12,000
0 / 2
The Wyrmrest AccordNeutral · 0 / 3,000
1 / 1
The Burning Crusade
0 / 16
Cenarion ExpeditionFriendly · 2,690 / 6,000
0 / 1
NetherwingNo standing yet
0 / 6
Sha'tari SkyguardNo standing yet
0 / 5
The Mag'harNo standing yet
0 / 4
Horde
46 / 532 to get now
Bilgewater CartelFriendly · 2,145 / 6,000
0 / 1
Darkspear TrollsHonored · 575 / 12,000
7 / 8
OrgrimmarFriendly · 2,169 / 6,000
18 / 18
Silvermoon CityFriendly · 2,045 / 6,000
8 / 9
Thunder BluffFriendly · 2,145 / 6,000
5 / 8
UndercityFriendly · 4,395 / 6,000
8 / 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 1 hour ago. Some mounts may be missing or incorrect still. Please report any issues on the contact page.