Aha..."Time Enough at Last" is the eighth episode of the American television anthology series The Twilight Zone.
Wikipedia
"Witness Mr. Henry Bemis, a charter member in the fraternity of dreamers. A bookish little man whose passion is the printed page, but who is conspired against by a bank president and a wife and a world full of tongue-cluckers and the unrelenting hands of a clock. But in just a moment, Mr. Bemis will enter a world without bank presidents or wives or clocks or anything else. He'll have a world all to himself... without anyone."
His despair gone, Bemis contentedly sorts the books he looks forward to reading for years to come. Just as he bends down to pick up the first book, he stumbles, and his glasses fall off and shatter. In shock, he picks up the broken remains of the glasses he is virtually blind without, and says, "That's not fair. That's not fair at all. There was time now. There was—was all the time I needed…! It's not fair! It's not fair!" and bursts into tears, surrounded by books he now can never read.
You can watch the whole thing at DailyMotion
http://www.dailymotion.com/video/x4lc1sl