It's very easy to get a Splat-fix these days. Want to play the original arcade game on any time? Pick up the Namco Museum for the Switch. Want to play Splatterhouse: Wanpaku Graffiti without paying ridiculous prices that eBay sellers are charging for an original cart? Get the Namco Museum Archives Vol. 1 for Switch. Also, there's also a free Wanpaku Graffiti skin for Pac-Man 99 on the Switch. I recommend checking it out if you own Pac-Man 99.
You can also play the Turbografx or PC Engine port of the original game on one of the PC Engine Mini consoles, although if you missed the boat on this one, the aftermarket prices have shot through the roof. There's the My Arcade Namco Museum mini arcade that has both Splatterhouse and Splatterhouse 2 built in, and if you're rich, you can also drop a few thousand on the Pac-Man's Pixel Bash full-size arcade cab. Splatterhouse is just one of the many arcade games included. Splatterhouse 3 is the only game in the classic series not to get some kind of re-release since 2010, sadly. For that matter, Splatterhouse 2010 hasn't been re-released either.