Nerus is a mystery and romance kinetic novel about two souls with intertwined fates, spanning multiple centuries in a variety of locations. There is mystery, intrigue and romance.
The eponymous character, Nerus, is a 7ft tall canine man with shapeshifting powers -- and a rich story which will pull you in instantly.
Morenatsu is the primordial furry visual novel -- a promising but flawed game published more than a decade ago.
Morenatsu Homecoming is a remake which smoothes out many of the original's more questionable elements and adds new material -- including routes for characters which weren't developed.
Among the cast of nine dateable characters, three are canines: Kouya and Kyouji (dogs) and Shun (wolf).
Do foxes count as canines? I guess not but they are similar enough.
Tyson the wolf is a dateable character.
Main character and his childhood friend (who is dateable) are both canines.
Protagonist is a canine.
Echo is a mystery/horror visual novel. Your character is Chase, an otter, as he returns to his hometown of Echo to record a short documentary about a historic tragedy... but, most importantly, to reconnect with his childhood friends. Among them is Leo, the wolf, who was Chase's boyfriend before he left the town.
Alien wolf himbo dating simulator.
Protagonist is an alien wolf, so is another one of the main characters.
Extracurricular Activities is a long-running VN with tons of content, both SFW and NSFW. The story focuses on your main character and a cast of five dateable characters. Spencer, the husky and your childhood friend, is a dateable character.
Technically not a VN but wolf as hell.