The site should have the same features as the app

A different layout and interface is acceptable, but please at least get the functionality of both platforms in sync with each other.  There are many missing features.  List sorting options and refine filters are missing from the site as noted in these 2 ideas:   
Ratings: Your Ratings page should have all refine and sort options as custom lists have.
Make Release Date sorting consistent between the app and site

Two of the most essential Refine criteria missing from the site are Streaming Subscriptions & Watch Options.  The site has "Instant Watch Options" in the Refine section but it doesn't include all the 3rd party channels that are in the app's filters.  The other filters are inconsistent as well.

You can add images to a list on the web site using the "Enter an IMDb image URL" option from within a list, but can't do it in the app.  The app has a button for adding people to lists that doesn't exist on the web site, and the site FAQ doesn't even mention how to do this for people or images.  The plus sign used for adding titles to lists should also exist for people and images, and the site should have the default "Your Favorite People" list as well.  The app has the "You may know them from" section below Filmography for people who were in other films you rated or added to lists, but this doesn't exist on the site either.

These were the main discrepancies I noticed so far after recently installing the app, but I'm sure there are many others.