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 · 1,000 / 3,000
2 / 2
Wrath of the Lich King
4 / 5
The Sons of HodirHated · 1,300 / 36,000
2 / 2
The SunreaversHonored · 4,796 / 12,000
1 / 2
The Wyrmrest AccordNeutral · 325 / 3,000
1 / 1
The Burning Crusade
15 / 16
Cenarion ExpeditionHonored · 245 / 12,000
0 / 1
NetherwingNo standing yet
6 / 6
Sha'tari SkyguardNeutral · 0 / 3,000
5 / 5
The Mag'harNo standing yet
4 / 4
Horde
49 / 53
Bilgewater CartelFriendly · 5,999 / 6,000
0 / 1
Darkspear TrollsHonored · 1,159 / 12,000
7 / 8
OrgrimmarHonored · 1,149 / 12,000
17 / 18
Silvermoon CityHonored · 612 / 12,000
8 / 9
Thunder BluffHonored · 1,149 / 12,000
8 / 8
UndercityHonored · 7,305 / 12,000
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, 7 days ago. Some mounts may be missing or incorrect still. Please report any issues on the contact page.