I was going to rush in and correct you, saying don't forget "Truly Madly Deeply", being sure that it was made several years before Die Hard. But then I double checked on IMDB and discovered that Truly Madly Deeply wasn't until 1991 and Die Hard was 1988. I could have sworn Truly Madly Deeply was earlier, it feels so eighties.
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Remind me to change my signature to something more interesting someday