How to get pictures off an old iPhone to a new iPhone?

Try a free software called ifunbox..... there is another programme that reads apple stuff without the need for iTunes to be running..unfortunately most software to read off Apple hardware requires iTunes running in the background...I assume your phone does switch on.Did you ever use iCloud?It is the best way to safeguard against loss of data.

Finally if you cannot get apple or windows to read the phone...try using Linux driven from a USB stick....you need to google Linux USB then install on a small USB stick (2gb) then choose from bios to start from USB...once it is running ..connect phone and see if it has been discovered...if these fail to help you....it may be possible to buy a donor phone from eBay and swap the logic board on a working phone and use iTunes to read that.