A little different than the character that has appeared on the CW's Flash, so let's take a quick look at the comic history of the Reverse-Flash!
Menace Of The Reverse-Flash
This tale has been reprinted a few times, like in Flash #205 (April-May, 1971), the Flash Archives #5 of 2009, and DC Comics Presents: The Flash of 2011.
Our Enemy, The Flash
This tale has been reprinted in Flash Archives #6 of 2012.
The Mightiest Punch Of All Time
This tale was reprinted in Flash #196 (April-May, 1970).
One Bridegroom Too Many
Coming back in time to make Barry miserable and taking Barry's place are themes Thawne will revisit again and again.
This tale was reprinted in Flash #328 (December, 1983) and in Flash: The Greatest Stories Ever Told Tradepaperback of 2007.
The Race To The End Of The Universe
..and won't be for a while.
More history on the Superman/Flash races is here, and you can find this tale reprinted in the Limited Collector's Edition C-48 of 1976 and in the Superman Vs. Flash Tradepaperback of 2005.
Time Times Three Equals -- ?
This tale has yet to be reprinted, though this cover provides an eerie look into the future of the Flash.
Green Lantern Master Criminal of the 25th Century
...with Flash teaming up with the Reverse-Flash against Flash's friend, Green Lantern? This happens because Professor Zoom created a "syntho-steed" menace that he sent back to the 20th Century, and the two heroes had to go to 25th Century to get Professor Zoom's help in defeating it.
This tale has yet to be reprinted, but wouldn't it make a great addition to a collection of Flash/Green Lantern team-ups?
The Deadly Secret Of The Flash
...but, as a time traveller, Professor Zoom would be okay with that!
This tale was collected in The Flash: A Celebration of 75 Years in 2015, as it well defines the character of the Reverse-Flash!
The 1,000-Year Separation
This story has not been reprinted.