So after fiddling around in the plugin code, I figured out what the problem might be.
In the description and readme file the shortcode is depicted as [tappd-press-menu menu_id=XXXX]
But in the plugin file it says add_shortcode('untappd-press-menu', 'tpfb_get_beer_menu_data');
So replacing [tappd-press-menu menu_id=XXXX] with [untappd-press-menu menu_id=XXXX] on my wordpress page seems to fix the problem.
Thanks for the quick response and update!
So I updated the shortcode as described to [tappd-press-menu menu_id=XXXX] (XXXX being my menu ID)
Still no luck. My wordpress page just shows the shortcode.