On October 8, 1993, Hill scored the first goal in the history of the Mighty Ducks of Anaheim in a 7-2 loss against the Detroit Red Wings.

On April 20, 2007, Hill became the first player to be suspended for abusing the performance-enhancing substance policy the NHL and NHLPA have put in place.

Hill began the mandatory 20-game suspension in Game 5 of the Islanders' Eastern Conference Quarter-Final versus the Buffalo Sabres.

Islanders General Manager Garth Snow said that he supported the league's decision to suspend Hill.

[1] Hill, who was signed by the Minnesota Wild as a free agent in July 2007, would be required to sit out the first 19 games of the 2007–08 season without pay.