The link to the manual is here:
On page 8 you can see some of the ones they list.
Ok What I was calling a special attack they call "Advanced Attack".
They only list freeze burst, high jump and rear attack, but at the end tell you there are others with even more inputs.
"Advanced Attacks and maneuvers are performed by pressing different sequences of the Directional Buttons. Since your vehicle's direction and acceleration may be affected when executing an Advance Attack be sure to familiarize yourself with controlling your car before you attempt them. Advanced Attacks are extremely useful and allow you to attack your enemy when you no longer have any weapons. They also enable your car to maneuver in unusual ways, creating combination attacks when used with other weapons (see Combo Attacks on pg. 10). Practice with Advanced Attacks and maneuvers listed below. There are many possible Advanced Attacks in Twisted Metal 2. Most Advanced Attacks require 3 or 4 button sequences, and some require more.
Attack Manuever Directional Button Sequence
Freeze Burst LRU
High Jump UUL
Rear Attack LRD