I read w/ both my kids. The usual stuff: Boynton books, Dr. Seuss, etc. Found some nice books in Mandarin, but later pushed the Chinese reading onto DH.
I started when they were babies (like the books recommend). When I changed their nappies, I would give them a book to hold onto and lok at, which helped keep them fairly calm during the changes (I rarely had to struggle with them squirming).
When they got to kindergarten age, they liked the "lil Critter books & Berenstain bears (still do). Then we moved into "chapter books" - lots of Roald Dahl & also books of myths and legends.
In primary I began to read them the Harry Potter books and the Narnia books. My daughter is now almost 10 and mostly reads to herself at night (she keeps re-reading Harry Potter and the Goblet of Fire) - but sometimes I will read a chapter a night of some book.
Both kids are also fond of "The Magic School Bus" series of science and technology books.
My son... He's just turned 8. Wwe're right at the third to last chapter of "Harry Potter and the Half-Blood Prince" and he doesn't want me to go on. I think he's afraid of what's coming. So, at his request I've been reading him "confort books" - Babar & Curious George.
After I read to them at night, if it's not too late, I let them read in their beds by themselves. For "self-reading" my son likes to read Tin Tin comics.
My father kept reading to me until I was about 10 years old and my step-dad until I was about 11.
My daughter says she wants me to keep reading to her until she is 18
