If Gensei Kaishingeki looks familiar to you & you're the particular kind of weirdo I am, you might have played the arcade game Shocking by Yun Sung which ripped it off pretty closely
I was looking into the original Gensei series, they were mostly distributed with Compile's Disc Station magazines in Japan and Korea but Gensei Kitan was released standalone. Smash the dog is the recurring protag. he is Horny. the 5th game Gensei Kaishingeki concerns his hunt for legendary porno
There IS a lion story in here.. The lesson is I need to make friends with a rhino in case my haters try to jump me when I'm sick
There are a lot of furry guys in this
And I do mean furry guys because unfortunately so far it seems to practice Coward's Kemono where only the men are full furry and the women are kemonomimi