There are scattered reports of TrinketMenu's menu not popping open when you mouseover worn trinkets. Make sure you have the most recent version (2.6). Earlier versions of this mod scanned tooltips. The most recent version does not and should not be affected by the changes in 1.10.

If someone is certain they have 2.6 and the menu isn't appearing can you post a bug report or in TrinketMenu's thread? Thanks!

There's a known issue with ItemRack where items don't appear in the menu if you have 'Hide Tradables' checked. If you're having problems with ItemRack, download the latest version and uncheck 'Hide Tradables' for now. (edit: This should be fixed in 1.94. Post if you find any bugs.)