Growing up with arcades everywhere, I largely ignored consoles until 1990ish. I'd play a random system at a friend's house from time to time before we went to the arcades. Arcades were awesome! They were full of friends and girls and the place to be.
One of the games I was really interested in was Splatterhouse. The local arcades wouldn't buy it but only a half hour away was a bar that had it. The regulars were awesome at it so there was always a line. I only ended up playing it $10-15 worth.
I'm not sure when but I ended up randomly searching eBay for Splatterhouse, saw it was on the TG-16 and remembered the Bonk commercials. I asked friends if they had one but no one did and few even remembered the system. I checked the local resale shops but no luck.
I bought a TG-16 lot with Splatterhouse, Alien Crush, Blazing Lasers, etc and I was hooked.
So to make a short story long , it was Splatterhouse.
Interesting you ignored console systems due to arcades. I started to ignore them due to the PC. Only the "New" systems though, from Playstation (1995?) onward.
I would go to arcades here and there, but I wouldn't spend as much time in there as some other people. It was fun, but sometimes I didn't have the time to play through a game start-to-finish. I usually would sue them to kill a bit of time with some people before a movie, waiting for a ride, something similar to that. That way if I had to walk away from the game, no big deal.
I liked the Atari 2600. For 8-bit, NES. The 16-bit game systems, I enjoyed Genesis, SNES, and TG-16. Neo Geo was during that time also, but I won't group that with the 16-bit stuff. It was during that time I moved more into PC games as there was much more to them, more free content, customizability, etc. Why would I play Wolfenstein 3D on an SNES, when I could play it on the PC? Why play DOOM on a console, when I could play it on the PC, with endless maps, sound mods, graphics mods, etc.. 3D cards on the PC were taking off by that time, with 3DFX, GLQuake, etc. Why would I play Theme Park on a console, when it played so much easier on a PC?