Done a bit of digging around, apparently only the XBLA version of Castlevania SOTN was missing the cutscenes due to the limit on game size at the time on XBox's arcade titles, the PSN version is pretty much everything from the original PSone disk for either the PS3 or Vita version.
http://www.metacritic.com/game/playstation/castlevania-symphony-of-the-night
If you need a metacritic score to tell you how good a game is :)
Edit - also worth noting that the game is 4euros for 2 versions of it! while if you go to Ebay for this .... http://www.ebay.co.uk/sch/i.html?_odkw=Castlevania%3A+Symphony+of+the+Night+have+fmv%27s+on+psn&clk_rvr_id=718317245628&_osacat=0&_from=R40&_trksid=p2045573.m570.l1313.TR0.TRC0.H0.XCastlevania%3A+Symphony+of+the+Night&_nkw=Castlevania%3A+Symphony+of+the+Night&_sacat=0 you're looking at paying 100+ euros because of how few copies of the game were made at the time.
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