Pandaren mounts are available on their corresponding race. Create a new character and you can get them without the standing.
Cataclysm
0 / 3
Hellscream's ReachNo standing yet
0 / 1
RamkahenNeutral · 1,000 / 3,000
0 / 2
Wrath of the Lich King
0 / 5
The Sons of HodirNo standing yet
0 / 2
The SunreaversFriendly · 667 / 6,000
0 / 2
The Wyrmrest AccordNeutral · 2,145 / 3,000
0 / 1
The Burning Crusade
12 / 16
Cenarion ExpeditionRevered · 19,606 / 21,000
1 / 1
NetherwingNo standing yet
6 / 6
Sha'tari SkyguardNeutral · 0 / 3,000
5 / 5
The Mag'harFriendly · 3,974 / 6,000
0 / 4
Horde
21 / 5324 to get now
Bilgewater CartelNo standing yet
0 / 1
Darkspear TrollsHonored · 9,498 / 12,000
1 / 8
OrgrimmarNo standing yet
8 / 18
Silvermoon CityFriendly · 5,999 / 6,000
7 / 9
Thunder BluffHonored · 4,545 / 12,000
3 / 8
UndercityFriendly · 5,999 / 6,000
2 / 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, 10 days ago. Some mounts may be missing or incorrect still. Please report any issues on the contact page.