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
RamkahenHonored · 124 / 12,000
2 / 2
Wrath of the Lich King
2 / 5
The Sons of HodirHonored · 6,200 / 12,000
2 / 2
The SunreaversRevered · 1,563 / 21,000
0 / 2
The Wyrmrest AccordFriendly · 4,375 / 6,000
0 / 1
The Burning Crusade
10 / 16
Cenarion ExpeditionHonored · 1,173 / 12,000
1 / 1
NetherwingNo standing yet
0 / 6
Sha'tari SkyguardNeutral · 250 / 3,000
5 / 5
The Mag'harHonored · 10,456 / 12,000
4 / 4
Horde
40 / 532 to get now
Bilgewater CartelFriendly · 990 / 6,000
0 / 1
Darkspear TrollsHonored · 8,567 / 12,000
6 / 8
OrgrimmarRevered · 1,444 / 21,000
14 / 18
Silvermoon CityRevered · 9,017 / 21,000
7 / 9
Thunder BluffHonored · 6,383 / 12,000
6 / 8
UndercityRevered · 4,143 / 21,000
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 3 hours ago. Some mounts may be missing or incorrect still. Please report any issues on the contact page.