[KyleGoetz]

Hiragana Times.

Once you know 1000-1200 kanji, then just read newspaper articles.

I don't know if there's anything in between. By my third year of Japanese at university, the professors had us reading newspaper articles, and we couldn't have known but about 1000-1200 kanji. Before that, we read maybe one article or short story every few weeks, but mainly just studied grammar and vocabulary and made/spoke short sentences using the new techniques we learned.

tl;dr The only thing a professor ever had me read was newspaper articles (and one short story).