I just watched Jumpin’ Jack Flash for the first time ever (on the DVD), thanks to this thread. Excellent film, and - as an '80’s kid - I’m surprised I missed this for so long. Prior to seeing this, I hadn’t known it was directed by the late Penny Marshall.
I agree completely that many elements of the film remind me of a classic Hitchcock flick, i.e. with the innocent protagonist getting inadvertently involved in an espionage situation completely out of her control. I also saw elements of neo-noir, especially the night scenes with jazzy music being played in the background- very cool.
Being a huge movie fan myself, it was nice to see the classic movie posters on Terri Doolittle’s walls (in her apartment) - this also emphasized the homage(s) to Hitchcock.
-Great cast in the film - in addition to WG, the movie featured the late Phil Hartman, John Lovitz, Annie Potts, James Belushi, Jonathan Pryce (as Jack, at the end), etc.
The comedic elements were great, and I laughed out loud numerous times throughout the film:
-Doolittle’s wardrobe choices were hilarious - i.e., a shirt/outfit seemingly inspired by the “Raggedy Ann” doll - LOL; a yellow scarf & yellow shoes combo.; a red scarf/red shoe combo. - etc. She looked outlandish & ridiculous - which I’m sure was intentional.
-It was hilarious when Doolitle got into that argument/fight with the guy over who was going to use the pay phone next; this definitely dates this film to the '80’s - ha ha. I haven’t seen a working pay phone (at least not in the U.S.) since around 2002, given that everyone has cell phones these days.
-Great scene when Doolittle’s blue dress got caught in the shredder at the British embassy - very funny 
-Doolittle’s manager at the bank - Mr. James Page - had one of the ugliest rugs (hairpieces) I’ve ever seen in cinema - hilarious!
-The blonde woman (in the pink dress) @ the front desk in the British embassy was the spitting image of Princess Diana, circa the '80’s - which I’m sure was intentional - LOL.
Also - Jumpin’ Jack Flash is one of my favorite tracks by the Rolling Stones, and it was nice to see the song featured in the film - when Doolittle was trying to decode the clues by listening to the song. Also enjoyed the excellent r&b cover version by artist Aretha Franklin, which was heard over the end credits.
I liked this film so much that I will probably watch it again, sometime in the next year. Well-done!