This app was mentioned in 14 comments, with an average of 1.21 upvotes
Not the best examples since the core functionality of these apps doesn't depend as much on being online such as yours does, but I was able to test both Listonic and Forest for a bit before signing up, syncing with my girlfriend and using them regularly. Maybe someone else in comments would be able to provide better examples.
For grocery list I really like Listonic.
It allows to create lists for the group of friends that is shared and anyone can add/remove items when necessary. Also support for Android Wear is a nice add-on so you don't need to pull the phone from your pocket during shopping 馃檪
I use Listsonic for my shopping. Simple with a great design.
There are many Grocery List apps for Android Phones but Top 5 free apps out of them are:
I think using this app- listonic will solve the problem. It's a collaborative shopping list app. https://play.google.com/store/apps/details?id=com.l
Grocery Shopping List - Listonic
https://play.google.com/store/apps/details?id=com.l&hl=en
I like listonic because it backs up online, and autocompletes and categorizes list items https://play.google.com/store/apps/details?id=com.l
If anybody will come here and look for answer - Listonic updated to Material Design - https://play.google.com/store/apps/details?id=com.l
Can recommend.