It never ceases to amaze me what some people will buy at yard and garage sales! Many times paying more than the item(s) sold for new.
I notice several consignment shops in the Albq area (search on Google) that appear to handle "household items." I'm assuming the key to getting a consignment shop to handle your items is two-fold: the item has unusual value and is likely to be a quick seller.
Usually these shops trend toward the trendy - mostly art decor, jewelry, collector's sets/objects, and antiques.
As has been stated - the best chances for selling the ordinary are internet sites like Ebay, Etsy, Craig's List, etc. And local thrift shops usually take donations - not consignments. The latter will normally give you a receipt for reasonable value of the item(s) that can be used when itemizing "charitable donations" as an income tax deduction.