Flash it a little bit like Marmite - you either love it or hate it.
We've always had a tendency to avoid using Flash. Mainly because it is harder to optimise for the search engines and also because of accessibility concerns - but also because we've never taken the time to master it.
A recent victory in the US for three blind plaintiffs (who argued the use of Flash on the retailer's website, Target.com, made it inaccessible to screen readers and thus discriminated against the visually impaired - Target will have to payout some £3.4 million) adds weight to the case against Flash websites.
So, next time your web designer mentions redesigning your website in Flash, ask them to think again.