Speaking as a recent convert to Fastmail from Gmail and Dreamhosts roundcube offering I have to say Fastmail is a hell of a lot better experience, it's quick, uncomplicated, and slick with great keyboard shortcuts. Roundcube on Dreamhost is fine for what it is but couldn't be compared with Gmail in terms of usability, Fastmail can. Don't get me wrong I'm not sure its as good as Gmail (spam protection for example is not as good), but you're getting a vastly better webmail experience than Roundcube.
I'm still laughing over: 'The number zero is simply lambda(), and 1 is lambda(lambda()), 2 is lambda(lambda(lambda())), and so on. Every single Thing in this legendary region, be it noun, verb or otherwise, is constructed from the primal verb "lambda".'
With the Amazon Instant Video app on an iPhone/iPad you can use Airplay to stream to an AppleTV. I've never used it but do this a lot with BBC iPlayer which works really well for me.