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 · 800 / 3,000
2 / 2
Wrath of the Lich King
5 / 5Complete
The Sons of HodirHated · 1,950 / 36,000
2 / 2
The SunreaversRevered · 1,439 / 21,000
2 / 2
The Wyrmrest AccordFriendly · 5,053 / 6,000
1 / 1
The Burning Crusade
16 / 16Complete
Cenarion ExpeditionRevered · 3,031 / 21,000
1 / 1
NetherwingNo standing yet
6 / 6
Sha'tari SkyguardNeutral · 1,232 / 3,000
5 / 5
The Mag'harHonored · 5,242 / 12,000
4 / 4
Horde
53 / 53Complete
Bilgewater CartelFriendly · 1,810 / 6,000
1 / 1
Darkspear TrollsHonored · 9,039 / 12,000
8 / 8
OrgrimmarHonored · 9,237 / 12,000
18 / 18
Silvermoon CityHonored · 170 / 12,000
9 / 9
Thunder BluffHonored · 6,624 / 12,000
8 / 8
UndercityRevered · 225 / 21,000
9 / 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 6 hours ago. Some mounts may be missing or incorrect still. Please report any issues on the contact page.