Also not a complete answer but maybe a good starting point.

This might be a good reference for primers.  In the search just type in birds or mammals and you should get some options.

http://www.boldsystems.org/index.php/Public_Primer_PrimerSearch

please see

SPInDel: a multifunctional workbench for species identification using insertion/deletion variants.

Carneiro J, Pereira F, Amorim A.

Mol Ecol Resour. 2012 Nov;12(6):1190-5. doi: 10.1111/1755-0998.12011. Epub 2012 Sep 15.

You can try in this paper.

http://www.funpecrp.com.br/gmr/year2015/vol14-2/pdf/gmr5280.pdf

The following primers give very good results for a large array of bird species:

CO1-Ext Forward: 5’- ACGCTTTAACACTCAGCCATCTTACC-3’

FISH1Reverse: 5’–TAGACTTCTGGGTGGCCAAAGAATCA-3’

annealing temperature=54°C

Refs:

Johnsen, A., Rindal, E., Ericson, P.G.P., Zuccon, D., Kerr, K.C.R., Stoeckle, M. and Lifjeld, D. 2010. DNA barcoding of Scandinavian birds reveals divergent lineages in trans-Atlantic species. J. of Ornithol. 151: 565-578.

Ward, R. D., Hanner, R. and Hebert, P. D. N. 2009. The campaign to DNA barcode all fishes, FISH-BOL. J. Fish Biol.74: 329-356

For birds I use primers from Kerr et al., 2007 (Kerr K.C., Stoeckle M.Y., Dove C.J., Weigt L.A., Francis C.M., Hebert P.D. Comprehensive DNA barcode coverage of North American birds. // Mol. Ecol. Res. Mol. Ecol. Notes 2007, 7(4). P. 535– 543):

BirdF1 5'-TTCTCCAACCACAAAGACATTGGCAC-3'

BirdR1 5'-ACGTGGGAGATAATTCCAAATCCTG-3'

BirdR2 5'-ACTACATGTGAGATGATTCCGAATCCAG-3'

FalcoFA 5'-TCAACAAACCACAAAGACATCGGCAC-3'

VertebrateR1 5'-TAGACTTCTGGGTGGCCAAAGAATCA-3'

(F –forward, R – reverse) in various combinations.

My experience with species identification of birds involved in collisions with aircraft shows that the most effective primer pairs are FalcoFA/ VertebrateR1 , BirdF1/ BirdR2 and BirdF1/ VertebrateR1.