Hi,
In case you didn't know, it is possible to use icons bigger than 32x32 for displaying your inventory items.
For example, I have tested the 48x48 icons available from:
http://www.techlogica.us/icons/free/48x48.php
When you drag-and-drop an item, the cursor takes the appearance of the item, but the cursor is limited to 32x32. Therefore, for best results, I recommend you to create icons that, in addition to the larger version of the icon, also include a 32x32 version (in the same file - in fact ICO files can contain icons of multiple sizes in a single file). Most icon editors allow you to do that (unfortunately not the one included in AM).
Also, to prevent the bigger inventory icons from being overlapped, you can adjust the settings that are under the "Inventory" tab of the Project Properties, as shown in the attached screenshot.
GM-Support