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
RamkahenFriendly · 740 / 6,000
2 / 2
Wrath of the Lich King
1 / 5
The Sons of HodirNo standing yet
0 / 2
The SunreaversRevered · 13,878 / 21,000
0 / 2
The Wyrmrest AccordFriendly · 877 / 6,000
1 / 1
The Burning Crusade
0 / 16
Cenarion ExpeditionRevered · 3,085 / 21,000
0 / 1
NetherwingNo standing yet
0 / 6
Sha'tari SkyguardNeutral · 1,878 / 3,000
0 / 5
The Mag'harFriendly · 3,764 / 6,000
0 / 4
Horde
42 / 53
Bilgewater CartelHonored · 1,755 / 12,000
0 / 1
Darkspear TrollsHonored · 5,146 / 12,000
6 / 8
OrgrimmarHonored · 6,405 / 12,000
16 / 18
Silvermoon CityFriendly · 1,700 / 6,000
7 / 9
Thunder BluffFriendly · 5,916 / 6,000
6 / 8
UndercityFriendly · 5,999 / 6,000
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, 3 days ago. Some mounts may be missing or incorrect still. Please report any issues on the contact page.