(from David Levy's website http://www.jarnac.org/comets.htm)
Comet Levy-Rudenko, 1984t, C/1984 V1, Nov 14, 1984
Comet Levy, 1987a, C/1987 A1, January 5, 1987
Comet Levy, 1987y, C/1987 T1, October 11, 1987
Comet Levy, 1988e, C/1988 F1, March 19, 1988
Comet Okazaki-Levy-Rudenko, 1989r, C/1989 Q1, August 25, 1989
Comet Levy, 1990c, C/1990 K1, May 20, 1990
Periodic Comet Levy, P/1991 L3, June 14, 1991
Comet Takamizawa-Levy, C/1994 G1, April 15, 1994
Periodic Comet Levy, P/2006 T1, October 2, 2006
Photographically, as part of team of Eugene and Carolyn Shoemaker and David Levy:
Periodic Comet Shoemaker-Levy 1, 1990o, P/1990 V1
Periodic Comet Shoemaker-Levy 2, 1990p, 137 P/1990 UL3
Comet Shoemaker-Levy, 1991d C/1991 B1
Periodic Comet Shoemaker-Levy 3, 1991e, 129P/1991 C1
Periodic Comet Shoemaker-Levy 4, 1991f, 118P/1991 C2
Periodic Comet Shoemaker-Levy 5, 1991z, 145P/1991 T1
Comet Shoemaker-Levy, 1991a1, C/1991 T2
Periodic Comet Shoemaker-Levy 6, 1991b1, P/1991 V1
Periodic Comet Shoemaker-Levy 7, 1991d1, 138P/1991 V2
Periodic Comet Shoemaker-Levy 8, 1992f, 135P/1992 G2
Periodic Comet Shoemaker-Levy 9, 1993e, D/1993 F2 (This comet crashed into Jupiter in 1994, resulting in the most dramatic events ever seen on another world)
Comet Shoemaker-Levy, 1993h, C/1993 K1
Comet Shoemaker-Levy, 1994d C/1994 E2
Comet Jarnac, P/2010 E2 (David Levy, Wendee Levy, Tom Glinos)
Other discoveries
Nova Cygni 1975, August 30, 1975 (independent discovery)
Nova Cygni 1978, September 12, 1978 (independent discovery)
Comet Hartley-IRAS (P/1983 V1), November 30, 1983 (independent discovery)
Comet Shoemaker 1992y, C/1992 U1 (aided in discovery)
Periodic Comet Shoemaker 4, 1994k, P/1994 J3 (aided in discovery)
Discovered Asteroid 5261 Eureka, the first Martian Trojan asteroid (shares Mars’s orbit), with Henry Holt, June 1990
With Tom Glinos and Wendee, discovered more than 150 asteroids
Established the cataclysmically recurring nature of 1215-17 TV Corvi (Tombaugh's Star), August 1987