We have conducted a deep (15 P r P 23), 20 night survey for transiting planets in the intermediate-age ($550 Myr) open cluster M37 (NGC 2099) using the Megacam wide-field mosaic CCD camera on the 6.5 m MMT. In this paper we present a catalog and light curves for 1445 variable stars; 1430 (99%) of these are new discoveries. We have discovered 20 new eclipsing binaries and 31 new short-period (P < 1 day) pulsating stars. The bulk of the variables are most likely rapidly rotating young low-mass stars, including a substantial number (k500) that are members of the cluster. We identify and analyze five particularly interesting individual variables, including a previously identified variable that we suggest is probably a hybrid Doradus/ Scuti pulsator, two possible quiescent cataclysmic variables, a detached eclipsing binary ( DEB) with at least one Doradus pulsating component (only the second such variable found in an eclipsing binary), and a low-mass (M P $ M S $ 0:6 M ) DEB that is a possible cluster member. A preliminary determination of the physical parameters for the DEB+ Doradus system yields M P ¼ 1:58 AE 0:04 M , M S ¼ 1:58 AE 0:04 M , R P ¼ 1:39 AE 0:07 R , and R S ¼ 1:38 AE 0:07 R .