LogFAQs > #965533589

Dunno about weird. But I'd say the following;

The Legend of Zelda
Despite having had a NES and a normal Gameboy, the first Zelda I've ever played was The Legend of Zelda: Oracle of Seasons. Fortunately, despite the Oracles being relatively forgotten compared to the rest of series, I loved them and am happy that was my first experience with the series.

Castlevania
This one isn't weird in terms of quality or anything, but I'd say me starting on Dawn of Sorrow is interesting considering it was a sequel to a game on a system I had owned for years already and I was already hooked on the fairly similar Metroid-series by then. But Dawn of Sorrow was the first time I thought about playing a Castlevania game. I remember playing it for about 6 hours straight after I got it in the mail, so it was a good first impression!