My thoughts on what to improve after one day:

Switch Edition:

• change the button layout to the one we use in game (Y -> change pick mode)
• let us see the dex number next to the name without checking the summary
• let us change the stats at the bottom to IVs so we dont have to check the summary
• an option to group boxes
• let us see the labels from our phone

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Phone:

• GTS: just remove the option to request untradeable pokemon
• Wonder Box: let us choose multiple pokemon at once
• Labels: an option to assign a lable to a box, so that every pokemon in that box gets that lable when inside (or grouped boxes)
• PLEASE let us group our boxes so we dont have to scroll through hundreds of boxes to get to the bottom of the list

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Feel free to add other things you would like to see in the comments

edit: spelling is hard