Not much to work with in the OP, but whatever.
Going all the way back to Mrs. Pac-Man, they've usually been something I've enjoyed. Old games like Karateka on C64, or NES games like Golgo 13, Ninja Gaiden....They were more of a rare occurrence back then, and as such, more special. Didn't even have to be a cut-scene. Megaman 2 for example had a cool "cinematic" intro and ending. And of course, there are levels to the practice. The frequency of cut-scenes, the length of cut-scenes, and the more subjective matter of quality. As mentioned above by @Quark, God of War is a game that is a beneficiary of great cinematics, that do nothing but complement the game as a whole. The conversations between characters during "down time", whether it be in the hub, rowing in the boat, or with the dwarves, only buoy the strong characterizations and narrative. All this conveyed with top-shelf voice acting and visuals. To strip all of that away and be left with some type of shallow, arcade boss-rush gauntlet? No thanks. I'm grateful to have the experience as it is.
I'll even drop Hotline Miami into the mix. It's about as pure of a gameplay experience as one could conceive of, but benefits from the backdrop of the dark, bizarre world the game takes place in.
I'm glad my tastes are eclectic. Trials Fusion. Worms....But games like Legacy Of Kain:Soul Reaver, Yakuza....They've given me so much beyond the onscreen manipulation of the characters. Intrigue, sadness, humor. I have doubt I'd care about the medium as much as I do if it hadn't evolved to incorporate elements that go beyond pure gameplay.
More power to you though.