Pandaren mounts are available on their corresponding race. Create a new character and you can get them without the standing.
Cataclysm
2 / 2Complete
RamkahenNeutral · 0 / 3,000
2 / 2
Wrath of the Lich King
5 / 5Complete
The Silver CovenantNo standing yet
2 / 2
The Sons of HodirHated · 1,300 / 36,000
2 / 2
The Wyrmrest AccordFriendly · 380 / 6,000
1 / 1
The Burning Crusade
16 / 16Complete
Cenarion ExpeditionRevered · 10,460 / 21,000
1 / 1
KurenaiFriendly · 4,450 / 6,000
4 / 4
NetherwingNo standing yet
6 / 6
Sha'tari SkyguardNeutral · 500 / 3,000
5 / 5
Alliance
50 / 521 to get now
DarnassusHonored · 4,674 / 12,000
11 / 11
ExodarRevered · 1,003 / 21,000
8 / 8
GnomereganHonored · 1,049 / 12,000
9 / 9
IronforgeHonored · 6,429 / 12,000
7 / 8
StormwindNo standing yet
15 / 16
Darnassus and Exodar and Gnomeregan and Ironforge and Stormwind mounts are available on their corresponding race. Create a new character and you can get them without the standing.
Horde
0 / 1
Bilgewater CartelNo standing yet
0 / 1
Standings come from the last update, 3 months ago. Some mounts may be missing or incorrect still. Please report any issues on the contact page.