Are there any movies with a laugh track?

I understand that canned laughter is mostly added to sitcoms in order to induce laughter at the right moment (e.g. since the viewer isn't watching with a crowd of people).

Have there been any theatrically-released movies that were made with a laugh track?

In a word, no. There don't appear to be any theatrically-released films that contain a natural 'laugh track'.

There are obviously exceptions to this general rule;

Used for parody:

• Seinfeld parody in Scott Pilgrim Vs. the World
• The DVDs of Epic Movie and Date Movie come with an optional laughter track.
• Used for emphasis in The Big Short

Used for surrealism:

• Natural Born Killers
• Inland Empire ('Rabbits' sequence)
• Requiem for a Dream

Note that all of these are 'segments', rather than used throughout the film.