is there a tweak that does this? bitesms does it for texts but what about one native tweak that does it for all apps?
No tweak or jailbreaking required. You can go to Settings > Notification Center, choose an app, scroll down, and turn off show on lock screen.
OP doesn't want to turn notifications off, he wants to delete individual notifications on the lockscreen.
OP, Bulletin is one tweak.
http://modmyi.com/cydia/com.clezz.bulletin
Read a little too fast, you're right. She/he was referring to the X's that Bitesms has. I was looking for something similar. Will check Bulletin out.