Most desirable form of Autograph? and ID needed

[thecatspajamas]

Signed Card 4
Signed Ball 1
Signed Postcard 5
Signed AP Photo 2
Signed Photo 3
Signed 3x5 card 8
Signed cut piece of paper 10
Signed Magazine Photo 6
Signed Program 7
Signed newspaper 9

Much of this could vary depending on the quality/desirability of the piece being signed, but that's how I would rank them.

+1 on the scarcity of the AP (or any news/press photos) signed, especially for players who died earlier than the last few years. News photos themselves were tough to come by before so many archives were broken up in the last few years, and the number that were then signed by their respective subjects was even smaller. That might not be quite as true for those still signing in the last decade or so when more vintage photos were available to collectors, but to me, would still rank above the other possibilities you listed.

I've never had much luck with newspapers myself (assuming clippings, rather than full papers), and find 3x5's easier to move than small clippings. Presumably because of the versatility of the 3x5 for framing purposes (can be paired with anything) and ability to achieve a somewhat uniform look for a collection even if signed decades apart. Depending on the mag photo or program, I might even rank a 3x5 above them for the same reasons.