I've enjoyed Val McDermid and Neil Plakcy from Oline's list.
Other LGBTQ crime novels I've read and would recommend:
THE HIDDEN ROOM by Stella Duffy: after more than a decade of writing terrific literary and historical novels, Duffy (a bit of an LGBTQ icon) returned to the mystery field with this psychological thriller about a lesbian couple whose past comes back to haunt them, and the lengths you'd go to protect family.
NB: Duffy was among the authors at the forefront of expanding the inclusion of LGBTQ heroes in crime fiction 20+ years ago, alongside the likes of McDermid and others. Check out her edgy Saz Martin series, starring a lesbian private eye. Duffy won two CWA Daggers in the UK back in the day, and her recent return to crime fiction has seen her shortlisted for major prizes in multiple countries.
THE NANCYS by RWR McDonald: an adolescent girl in small-town New Zealand joins up with her visiting uncle from Sydney and his new boyfriend to form a mystery-solving club inspired by their love of Nancy Drew, and solve the case of her murdered schoolteacher. Charming, delightful tale that combines small-town mystery with great characters, riotous events, humour and LGBTQ and other social issues. (note: not out in USA yet)
THE QUAKER by Liam McIlvanney: an atmospheric tale set in late 1960s Glasgow, inspired by the real-life, unsolved 'Bible John' killings. A detective who's an outsider in more ways than one (and dangerously so for the times) must try to find a killer terrorising the city.
Kristen Lepionka's series starring bisexual private eye Roxanne Weary
Norwegian author Anne Holt's series starring lesbian detective Hanne Wilhelmsen