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Are there online brokers in the UK which don't require margin account? 
I don't know what you are on about, as most online brokers should offer standard brokerage without margin. As trading with magin is considered more risky by most (especially if you don't know what you are doing), so one would have to fill out additional application forms and possibly undergo some training before getting a margin account open. A quick search on the net provided some examples, here is one - IG, who provide 3 type of accounts - Spread Betting and CFDs (both leveraged) and Stockbroking (which is non-leveraged).