I had exactly this problem on my Baxi 105e. The fan would run and it would have a few abortive tries and then it would give up and start flashing the flame failure LED (sometimes with or without the fan failure LED). I changed the pressure switch (£24) and the fan (£102), to no avail. My third attempt was to change the PCB (£122), and it has fixed the problem.
Looking back, I wish I had trusted my instincts....... Originally I tested the pressure switch was actually switching the power using a 240v test screwdriver and it indicated that it was working OK. I needlessly changed the switch and fan because of the fan LED flashing. Then, when I removed the PCB, there was an obvious burn mark around one of the terminals on the back, indicating this was definately the problem - wish I had looked in the first place.
Other comments - replacing the fan is far more difficult than it first looks - Replacing the PCB is easy, but the actual replacement part is slightly different to the original, so refer to the wiring diagram on the back of the front cover.
All-in-all its fixed for £248, which is probably what it would have cost to get a boiler man in!!! (You win some, you lose some......)
Davy the hapless DIY'er, November 2009