There Are No Animalities on MKII at all. Hence the hidden message after you beat MKII which is scrambled like this: Three Rae On Stiiinammlit

On MK3, you can check out the MK Bible on this website. However here they are, and how to do them. In order to do any Animality in MK3, you must first perform a Mercy!. To do a Mercy!, you must be on Round 3 or later. At Finish Him/Her!! stand a fullscreen away from your opponent, and hold the Run button. Press Down three times, and release Run. Your opponent will then be given a small ammount of life back. Defeat opponent once more, and then you can do your Animality. Below is everyone's Animality for MK3.

Sindel=[Stand Close] Forwards -- Forwards -- (Up + High Punch)

Shang Tsung=[Stand Sweeping Distance] (Hold High Punch) Press Run
Run -- Run -- Run -- Release High Punch

JAX=[Stand Close] (Hold Low Punch) Press Forwards -- Forwards -- Down
Forwards -- Release Low Punch

Kano=[Stand Close] (Hold High Punch) Press Block -- Block -- Block -- Release High Punch

Liu Kang=[Stand Sweeping Distance] Down -- Down -- Up

Stryker=[Stand A Little Outside Sweeping Distance] Run -- Run -- Run --
Run -- Run -- Block

Sonya=[Stand Close] (Hold Low Punch) Press Back -- Forwards -- Down
Forwards -- Release Low Punch

Robot Smoke=[Stand A Fullscreen Distance Away] Down -- Forwards
Forwards -- Block

Sub-Zero=[Stand Close] (Hold Block) Press Forwards -- Up -- Up

Cyrax=[Stand Close] (Hold Block) Press Up -- Up -- Down -- Down

Sektor=[Stand Close] Forwards -- Forwards -- Down -- Up

Nightwolf=[Stand Close] Forwards -- Forwards -- Down -- Down

Sheeva=[Stand Close] Run -- Block -- Block -- Block -- Block

Kung Lao=[Stand Close] Run -- Run -- Run -- Run -- Block

Kabal=[Stand Close] (Hold High Punch) Press Forwards -- Forwards
Down -- Forwards -- Release High Punch

There you have it!! Hope that helps a little!!

In MK3 in order to perform Babalities, or Friendships, you cannot use Block at all in the winning round. Then unless otherwise stated below, you can be anywhere to perform them.

Sindel
Run, Run, Run, Up=Babality
Run, Run, Run, Run, Run, Up=Friendship

Shang Tsung
Run, Run, Run, Low Kick=Babality
[Sweep or More] Low Kick, Run, Run, Run, Down=Friendship

JAX
Down, Down, Down, Down, Low Kick=Babality
[Sweep Or More] Low Kick, Run, Run, Low Kick=Friendship

Kano
Forwards, Forwards, Down, Down, Low Kick=Babality
[Sweep Or More] Low Kick, Run, Run, High Kick=Friendship

Liu Kang
Down, Down, Down, Down, High Kick=Babality
(Down + Run)(Down + Run)(Down + Run)(Down + Run)=Friendship

Stryker
Down, Forwards, Forwards, Back, High Punch=Babality
[Sweep or More] Low Punch, Run, Run, Low Punch=Friendship

Sonya
Down, Down, Down, Forwards, Low Kick=Babality
Back, Forwards, Back, Down, Run=Friendship

Smoke
Down, Down, Back, Back, High Kick=Babality
[Sweep Or More] Run, Run, Run, Run, HIgh Kick=Friendship

Sub-Zero
Down, Down, Back, Back, High Kick=Babality
[Sweep Or More] Low Kick, Run, Run, Up=Friendship

Cyrax
Forwards, Forwards, Back, High Punch=Babality
Run, Run, Run, Up=Friendship

Sektor
Back, Down, Down, Down, High Kick=Babality
Run, Run, Run, Run, Run, Down=Friendship

Nightwolf
Forwards, Back, Forwards, Back, Low Punch=Babality
[Sweep Or More] High Punch, Run, Run, Run, Down=Friendship

Sheeva
Down, Down, Down, Back, High Kick=Babality
Forwards, Forwards, Down, Forwards, High Punch=Friendship

Kung Lao
Down, Forwards, Forwards, High Punch=Babality
[Sweep Or More] Run, Low Kick, Run, Low Punch=Friendship

Kabal
Run, Run, Run, Low Kick=Babality
[Sweep Or More] Run, Low Kick, Run, Run, Up=Friendship

There you have some more. On Sheeva's Friendship, you may need to pause for a brief second before hitting High Punch. Otherwise you'll end up throwing a fireball, but that is the correct motion. IM me if you want them all or check out the MK Bible. Good Luck!!