According to Joel Whitburn's various Billboard Charts books, the 
following songs hit the US Top 100 pop charts over the years (this list 
is missing 1992, because I don't have Whitburn's yearbook for that year):

Billboard Pop Charts
Amazulu        Montego Bay    07/25/87
Big Mountain   Baby I Love Your Way     02/26/94
Big Mountain   Get Together   12/16/95
Big Mountain   Sweet Sensual Love  08/06/94
Big Mountain   Touch My Light 04/10/93
Blondie   Tide Is High   11/15/80
Bob Marley     Roots Rock Reggae   07/04/76
Born Jamericans     Boom Shak a Tak     01/29/94
Buju Banton    Champion  07/15/95
Capleton  Tour 02/04/95
Capleton & Method Man    Wings of the Morning     10/28/95
Chakademus & Pliers I Wanna Be Your Man 08/14/93
Chakademus & Pliers Murder She Wrote    01/02/93
Dawn Penn You Don't Love Me   02/26/94
Desmond Dekker Israelites     05/17/69
Diana King     Shy Guy   04/01/95
Eric Clapton   I Shot the Sheriff  09/07/74
Ini Kamoze     Hot Stepper    09/17/94
Ini Kamoze     Listen Me Tic (Woyoi)    07/29/95
Inner Circle   Bad Boys  05/15/93
Inner Circle   Games People Play   09/03/94
Inner Circle   Rock with You  12/18/93
Inner Circle   Sweat     09/11/93
Jimmy Cliff    Come Into My Life   03/14/70
Jimmy Cliff    Hakuna Matata  05/06/95
Jimmy Cliff    I Can See Clearly Now    01/01/94
Jimmy Cliff    Wonderful World Beautiful People   12/06/69
Johnny Nash    I Can See Clearly Now    10/21/72
Mad Lion  Own Destiny    05/20/95
Mad Lion  Take It Easy   07/30/94
Marcia Griffiths    Electric Boogie     12/08/89
Maxi Priest    Close to You   07/21/90
Maxi Priest    Just a Little Bit Longer 12/08/90
Maxi Priest    Wild World     10/29/88
Maxi Priest & Roberta Flack   Set the Night to Music   10/05/91
Mega Banton    Sound Boy Killing   04/09/94
Millie Small   My Boy Lollipop     05/23/64
Millie Small   Sweet William  08/08/64
Musical Youth  Pass the Duchie     12/18/82
Musical Youth  She's Trouble  01/14/84
Patra     Pull Up to the Bumper    08/05/95
Patra     Worker Man     04/30/94
Patra & Yo Yo  Romantic Call  08/13/94
Peter Tosh     Johnny B Goode 07/09/83
Peter Tosh & Mick Jagger Don't Look Back     11/04/78
Prince Buster  Ten Commandments    02/04/67
Rayvon    No Guns No Murder   08/06/94
Shabba Ranks   Let's Get It On     03/11/95
Shabba Ranks & Maxi Priest    Housecall 10/26/91
Shabba Ranks    Patra     Terri & Monica     Family Affair  02/19/94
Shaggy    Boombastic     05/20/95
Shaggy    Oh Carolina    08/14/93
Shaggy & Rayvon     Summer Time    05/20/95
Ska Kings Jamaica Ska    07/11/64
Snow Informer  01/09/93
Supercat  Dolly My Baby  08/21/93
Supercat  Girlstown 10/07/95
Terror Fabulous & Nadine Sutherland     Action    07/30/94
Third World    Now That We Found Love   02/10/79
UB40 Can't Help Falling in Love    05/15/93
UB40 Here I Am (Come & Take Me)    03/23/91
UB40 Red Red Wine   01/28/84
UB40 Red Red Wine   08/13/88
UB40 The Way You Do the Things You Do   09/15/90
UB40 & Chrissie Hynde    I Got You Babe 07/27/85
Vicious   Nika 01/14/95
Willie One Blood    Whiney Whiney  01/21/95
Ziggy Marley   Good Time 09/21/91
Ziggy Marley   Tomorrow People     05/14/88