Someone, or something has set defaults for the application(s), and this default was set as soon as someone or something set it by either internally, or by hitting the button "Always.", in this case you'll have to go to your App Drawer, go into Settings and find your Application Manager. In this case, you'll want to go to the application that doesn't have the option. Find it, click it, go down and hit "Clear Defaults.", now, hit the home button, find the application you're wanting to run and VOILA! The action menu should set itself back. If it doesn't, find the application that is automatically running upon startup of that specific object, and hit clear defaults.

Thank-you, FxApoc.

Someone or something has set defaults for the application(s), and this default was set as soon as someone or something set it either internally, or by hitting the button "Always."

In this case, you'll have to go to your App Drawer, go into Settings and find your Application Manager. In this case, you'll want to go to the application that doesn't have the option. Find it, click it, go down, and hit "Clear Defaults.", now, hit the home button, find the application you're wanting to run, and VOILA! The action menu should set itself back. 

If it doesn't, find the application that is automatically running upon startup of that specific object, and hit Clear defaults.