My wife has this thing about noses. She'll touch the nose of any animal she's near so we decided to make her a gift that would appeal to her, um, unusual quirk. We painted nine pictures of animals and built nine paper mache heads for them. Each animal head has a 3D nose that sticks out of the picture. It made for some weird pictures but the end result turned out pretty nice. My wife LOVES the pictures and immediately named them the Menagerie of Noses. They are on the wall outside the kitchen and yes, she regularly touches them.
All of these are 8x10 pictures mounted in wooden frames.
Elephant. Note the tooth pick tusks.
Alien with fuzzy antenna. 
Cow with aliens kidnapping another cow in the background.
Moose with Eagles in the trees. That's how you spot Eagles in Alaska; you look for golf balls in the trees. When you do that you suddenly see that they are everywhere around you!
Hamster painted up to look like Hampy, a previous resident here.
Cat. 
Dog. This one has 3D ears.
Pig.
Dolphin swimming out of the picture. This was the most complex one to build.
Side view of the pictures as displayed.
Side view of the pictures as displayed.