Here are some Jazz progressions which use major, minor and dominant 7th chords. Learning Jazz tunes is a great way to expand your chord knowledge. There are no given chord shapes or rhythms for the following examples.
There are many possibilities here. See if you can work some out from the recordings. Picking up chords, single note lines and rhythms by ear and improvising with them is essential in Jazz, as you need to be able to respond to what the other musicians are playing, and adapt your playing to a variety of situations instantly. Jazz musicians rarely playa tune the same way twice.