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 ReachFriendly · 1,785 / 6,000
0 / 1
RamkahenNo standing yet
2 / 2
Wrath of the Lich King
4 / 5
The Sons of HodirRevered · 2,221 / 21,000
1 / 2
The SunreaversNo standing yet
2 / 2
The Wyrmrest AccordNo standing yet
1 / 1
The Burning Crusade
16 / 16Complete
Cenarion ExpeditionHonored · 9,101 / 12,000
1 / 1
NetherwingNo standing yet
6 / 6
Sha'tari SkyguardNo standing yet
5 / 5
The Mag'harHonored · 1,858 / 12,000
4 / 4
Horde
50 / 531 to get now
Bilgewater CartelRevered · 2,927 / 21,000
1 / 1
Darkspear TrollsRevered · 6,255 / 21,000
7 / 8
OrgrimmarNo standing yet
18 / 18
Silvermoon CityNo standing yet
8 / 9
Thunder BluffRevered · 3,157 / 21,000
7 / 8
UndercityRevered · 5,742 / 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, 2 days ago. Some mounts may be missing or incorrect still. Please report any issues on the contact page.