X10 Please Help
Fortunately you're in the UK, so you have recourse under the Sale of Goods Act; the camera is of 'unmerchantable quality', the evidence being the number of times it's been repaired by Fuji since new. You can approach Fuji or, if purchased with a Credit card, your card issuer.
If the camera was purchased in the EU, then goods have a 2 year warranty under EU law, but note the UK has not adopted this EU legislation, so only 1 year warranty by law in the UK.
There is an expectation, however, that 'Goods' have a 6 year life, regardless of what the warranty says, etc.
Speak to Trading Standards; they'll 'hold your hand' through the process.
As a last resort, sue through the Small Claims Court.