A few techniques I used on my card were scissor and ink distressing the edges plus paper piecing the bird. If you look closely at the bird's wing, I used an exacto knife to cut it and then curl it up a bit. The paper pieced bird body layer was attached with foam tape so that it has some pop. I also added a tiny Mocha opaque to give its eye some dimension.
All supplies from Close To My Heart: Life Is Tweet stamp set; Footloose paper pack; Cocoa ink; Green button collection; Sweet Leaf ribbon; Mocha Opaques; 3D foam tape