The whole point of a language is that it is not a mish-mash of words strung together haphazardly, but that the order of the words, their relation to one another, conveys meaning. You have followed a noun with an adjective without using a preposition. So:
(It is a shining example of ) British prestigious cinema with characteristic flawless finish.
Note: in both formats, you are referring to: of the prestigious films made worldwide ('prestigious cinema') you are specifically singling out that in Britain for discussion. As opposed to:
Prestigious British cinema : of all the films made in Britain, you are discussing only the 'prestigious'/the prestige end of the market.