While this question got an answer about newer special moves that make contact, I'm making an answer that includes all of the special moves that make contact.
As of Gen 9, the following special moves make contact:
Petal Dance
Trump Card
Wring Out
Grass Knot
Draining Kiss
Shell Side Arm (makes contact if Shell Side Arm is physical)
Final Gambit
Infestation
Electro Drift
In Gen 3 only, Overheat was a special move that made contact.