For comparison, this is what my (german) ID CS6 has set for the keyboard shortcuts concerning the DEL keys:
Löschen --- Standard: Rücktaste, Standard: Strg+Rücktaste, Standard: Entf-Taste, Standard: Strg+Entf-Taste
Löschen = Delete
Rücktaste = Backspace
Entf-Taste = Del key
Strg = Ctrl
Check your settings and compare and also check the DEL key is not assigned to any additional action.
Hello, I had the same problem. I solved it deleting my old shortcuts....
I had this problem and this is how you solve it. And of course, you want to keep your old set of shortcuts.
In CC the shortcut options had changed so you need to assign some new values for delete to the left and to the right.
Product area : Text and Tables
Delete one character to the left --- Text: , Text: Shift+, Text: Delete
Delete one character to the right --- Text: , Text: Shift+, Text: Del
Delete one word to the left --- Text: Cmd+, Text: Cmd+Delete
Delete one word to the right --- Text: Cmd+, Text: Cmd+Del
Please press Like if this shorted your problem.
I had the same issue with the delete key and certain shortcuts not working, but noticed they do work when I have at least two files open at the same time. It seems to happen randomly, so when it does, I just open a second file and the delete key and copy and paste function work normally again. It doesn't fix the issue, but it's a workaround until Adobe finds a solution.