In 2015, then-Governor Pence passed the Religious Freedom Restoration Act. This law essentially allowed all types of service to LGBT people in Indiana to be denied (a similar outrageous bill passed when I still lived in Mississippi the following year with the man who is still governor there today, Phil Bryant).
Also, while he was in the House, he opposed the Employment Non-Discrimination Act in 2007 and the Matthew Shepard Hate Crimes Act in 2009.