Musí fungovat tenhle základ:
SELECT min(p.final_price),pd.products_tax_class
from listing_table_products p left join listing_table_products pd
on p.products_id=pd.products_id
Pak na něj nabal ostatní (name apod.).
EDIT:
Určitě tohle:
SELECT min(p.final_price),pd.products_id
from listing_table_products p left join listing_table_products pd
on p.products_id=pd.products_id