Some items are given a new category when Age of Production is present, specifically electronics-or-electromechanics. This category restricts hand crafting though. I think the correct category for some of these items is actually electromechanics-or-crafting.

Some of the obvious ones I've found: Radar, Roboport, Solar Panel Equipment.

I think a number of the player equipment items used to be hand craftable but I haven't loaded up an unmodded game to check.

Pretty sure you're correct. The issue is that things like green circuits are in electronics and are hand craftable, so I'd assumed that AoP's categories like electronics-or-electromechanics would also work, but regardless I need to check that all the applicable categories that are added are also added to the player.