It's time to start another thread, rather than put more book recommendations into the movie thread. So, here goes ...
In the afterword to his 11/22/63, Stephen King makes reference to and pays homage to Jack Finney and his Time and Again (New York: Simon and Schuster, 1970; ISBN 0-671-24705-0 / 0-671-24295-4 pbk).
Beautifully conceived and equally beautifully literate — a worthy and worth-while read, no matter what your literary predilections.
In case it's not obvious, King's 11/22/63 is required reading.
And if Garth Stein's The Art of Racing in the Rain [see movie thread] moved you, add to that all of Richard Adams's work:
Watership Down (1972),
Shardik (1974), and especially
The Plague Dogs (1977)