 Nyorai mberi kweiyi ndima - Jackson akatanga kuita firimu aine chikamu chidiki muRagtime 1981 inotungamirwa naMiloš Forman. Mamwe mafirimu ake ekutanga aive madiki madiki mumafirimu akadai sa Kuuya kuAmerica 1988, Ita Chinhu Chakarurama 1989, Vakanaka 1990, uye The Exorcist III 1990. Basa rake guru raiva Gator akapindwa muropa neCrack muSpike Lees Jungle Fever 1991, iyo Jackson akakunda mubairo wejury weakanakisa mutambi anotsigira paCannes Film Festival. Akaoneka muJurassic Park muna 1993, uye, muna 1994, akaonekwa muPulp Fiction yakatungamirirwa naQuentin Tarantino. Nokuda kwemufirimu wokupedzisira, Jackson akakunda BAFTA Award for Best Actor in a Supporting Role uye akagamuchira mazita eAward Academy for Best Supporting Actor uye Golden Globe Award. Muna 1994, akasarudzwawo nokuda kweGolden Globe Award nokuda kweMutambi Akanakisisa nokuda kwebasa rake muAgainst the Wall. Gore rakatevera racho, akaita nyeredzi achipesana naBruce Willis muDie Hard with a Vengeance. Kuita kwaJackson mu Nguva Yokuuraya 1996 kwakamupa zita reGolden Globe reMutambi Anotsigira Akanakisisa. Muna 1997, akashanda naTarantino pa Jackie Brown, iyo yaakasarudzwa nayo neGolden Globe. Makore maviri gare gare, akaita nyeredzi mufirimu rinotyisa renyaya yokufungidzira yesayenzi rinonzi Deep Blue Sea. 