I just keep all of my stuff in
* ColorNote Notepad Notes - Android Apps on Google Play
I don't use paper lists anymore, ever....
If I need it, it goes there.
I also keep a "Standard Grocery List" that I use for a reference for those "brain dead" trips to the store.
My colorNote is full of little brain joggers.... things I think of it home/work and want to get the next time I am in a store... It will let you just click on the title line and it puts a black line thru that note.
then later, you can go to edit and delete them if you want.
"note Every thing" is also a good app
https://play.google.com/store/apps/details?id=de.softxperience.android.noteeverything
~~~~~~~~~~~~~~~~~~~~
The 1st recommendation for "Shopping List" though has to top everything that I mentioned here.
I am a convert. It will let you use your Voice to add a new item.
and it can import stuff, neato.
* Notes - Shopping List - Android Apps on Google Play
I just noted that it allows you to "Mark Out" an item on your list as you throw them in your cart.
and then, when done, you can "Unmark them again"... which to me, is really trick, as it allows me to keep my Standard Grocery list and use it over and over again...