No no, the first is an absolute! No game should ever, EVER have cutscenes that cannot be skipped.
This problem manifests in many ways. Most irritating is when a cutscene comes before a difficult part in a game, and cannot be skipped, meaning that every time you reload after failure- a point at which aggravation is high anyway- your anger is stretched further, totally unneccessarily, by being forced to watch something again that you may have already watched a dozen times, when all you want to do is try the hard bit already! Being forced to watch the scene again and again and again is horrendous.
Final Fantasy pushed the concept stlill further by having 'cutscenes' (actually attack forms) inside its battle scenes that were horifficly long; entertaining the first time but which you could easily use a hundred times or more in-game and made you want to shoot yourself by the end.
But even just a general, quiet-time cutscene should be skippable simply on the point that, although the game might not know it, you might have already seen it. At which point the scene has zero value unless you specifically wanted a replay, and so why the hell should you be forced to wait, totally unneccessarily, to actually play the game you paid for?
By the same token, all cutscenes in games should, once accessed, be breplayable from the game menu, in case you do want to see it again, or accidentally skipped it.
In any game rating I make, fialing to provide 100% skippable cutscenes loses a game a mark. It really, really aggravates! I say 100% because some games arse around in ways I do not understand,. The second Prince of Persia game, for example, allowed you to 'skip' cutscenes you had already seen. But you couldn't skip them if you hadn;t already seen them (even though this counted for every time you reloaded the damn game), and the 'skipping' was actually just fast forwarding. What is the point of that? Fast forward a three minute scene and I still lose a wasted minute. Just skip it!
Or Lego Star Wars- fine game in many ways, but very werid half measures. You can press Escape to skip the opening crawl for each episode- fair. But then it goes straight from the crawl into the opening cutscene which can't be skipped at all. They realised the skipping for the first bit, why not the second? Luckily they are not long, but the principle is bad. The first Lego Star Wars game was also exceptionally guility of the 'pointless and unskippable cutscene you have to see dozens of times just before a hard bit' crime, in the podracing section.
And you can tell games makers that take REAL care about such things as compared to those who do not. Blizzard have a well-deserved reputation for good gameplay, and they do exactly what I like with cutscenes. You can skip them, and once unlocked you can see them again whenever you want.