Here are alphabet puzzles for every letter of the alphabet. Each letter contains a picture of that beginning sound. Each vowel, though, has a puzzle with the long and short vowel sounds shown, one with just the long vowel sound shown, and one with just the short vowel sound. See thumbnails.
I would cut off the white space around the perimeter. Students will cut apart the puzzle on the black dotted lines and either put it together on their desk or tape it to a blank piece of paper.