That really depends on the game and how the cutscenes effect the gameplay and the story. I mean obviously cutscenes are usually crucial to the understanding of the story, but sometimes they're just thrown in to have them, and sometimes they're just there for hilarity or as an indication that an event has been triggered. In some games I'm completely fine with them, as they feel completely natural and fit in with the game entirely. I mean some games are even based around cutscenes (Heavy Rain, Beyond: Two Souls, The Last of Us to some extent), while in some other games, they just ruin the experience and feels totally out of place. Some games also drag them out for really long (Final Fantasy :p), and I really would wish every game just had the option to skip cutscenes, whether you'd seen them before or not. I mean, I often really want to play Skyward Sword again, but the amount of cutscenes in the beginning that are unskippable, as well as just the amount of cutscenes to come just kinda discourages me, since I feel like Skyward Sword's story is more of a "first time" experience only. I know it now, and I loved it, but I'm not as interested in seeing it again, I just want to play the game :p The same thing goes for all of the Zelda franchise's other unskippable intro scenes; especially Wind Waker.
In the end, I'm kinda happy cutscenes exist, since they can give you kind of a breather in between gameplay, and at times they are really interesting or hilarious, and they further contribute towards games being considered art :p
