We read to ds whenever he asks during the day (usually about 20 times cos he loves books) and we read to him when he climbs in bed with us in the morning. At night it is his choice so normally no he doesn't want it. To him bed time when he has got into bed is when we should bugger off. If he is feeling ill though he likes me to read to him.
He likes most books especially those with bright pictures that rhyme, but will listen to anything being read. Keith Floyds Indian cookbook was a hit for a while (I think it might have been the bright colours), but generally its each peach pear plum, the very hungry caterpillar, gruffalo and gruffalos child, Hairy McClary, and Kiss goodnight sam. But anything will do. He even tries to read them himself if you are too busy! He's 20 months and thinks its hilarious.
I just wish his dad would read to him more.