I love time travel stories too. Here are some of my favorites:
Jack Finney: Time and Again. This is probably my absolute favorite. A modern man named Simon Morley travels to 1880s New York City.
Stephen Fry: Making History. Everybody always thinks if you can go back in time, you should get rid of Hitler, right? Stephen Fry shows that might not turn out quite as planned.
Audrey Niffenegger: The Time Traveler's Wife. You probably know this one, since it made a big splash a few years ago.
Connie Willis: The Doomsday Book. Oxford University scientist accidentally winds up in a plague-ridden village in the 14th century. I have mixed feelings about this book. It was a good story in many ways, but Willis is practically obsessed with disease and has some very odd views about what technology will be like in the future in Oxford––as in, telephones will operate on about a 1950s level.
Stephen King: 11/22/63. A high school English teacher travels back to 1963, where he tries to prevent several tragedies, including the assassination of JFK.
Andrew Sean Greer: The Impossible Lives of Greta Wells. A depressed woman in 1985 New York decides to get electroshock therapy. After each treatment, she wakes up, as herself, in either the present, 1918 or 1941. Each visit shows her other, possible lives.
Ken Grimwood: Replay. Jeff Winston dies of a massive heart attack and wakes up at age 18. He tries to change his life, with unexpected results.
Peter Delacorte: Time on My Hands. An actor travels back to 1938 to try to prevent Ronald Reagan from every becoming president.
Kage Baker: In the Garden of Iden. First in a series about a 24th-century Company that trains orphans from the past and sends them on historical missions.