Pandaren mounts are available on their corresponding race. Create a new character and you can get them without the standing.
Cataclysm
3 / 3Complete
Hellscream's ReachNo standing yet
1 / 1
RamkahenNo standing yet
2 / 2
Wrath of the Lich King
5 / 5Complete
The Sons of HodirNo standing yet
2 / 2
The SunreaversHonored · 11,117 / 12,000
2 / 2
The Wyrmrest AccordNeutral · 0 / 3,000
1 / 1
The Burning Crusade
16 / 16Complete
Cenarion ExpeditionRevered · 1,971 / 21,000
1 / 1
NetherwingNo standing yet
6 / 6
Sha'tari SkyguardNo standing yet
5 / 5
The Mag'harNo standing yet
4 / 4
Horde
52 / 53
Bilgewater CartelFriendly · 1,060 / 6,000
0 / 1
Darkspear TrollsNeutral · 1,460 / 3,000
8 / 8
OrgrimmarNeutral · 1,460 / 3,000
18 / 18
Silvermoon CityFriendly · 1,960 / 6,000
9 / 9
Thunder BluffNeutral · 1,460 / 3,000
8 / 8
UndercityFriendly · 1,060 / 6,000
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, 12 days ago. Some mounts may be missing or incorrect still. Please report any issues on the contact page.