Disclosed are processes for producing crude oil and bitumen products of relatively high quality from oil sand. The processes for producing the high quality crude oil and bitumen products involve a Phase I and/or Phase II extraction solvent. According to the Phase I process, a high quality bitumen-derived crude oil can be produced using a Phase I type solvent. According to the Phase II process, a substantial amount of the bitumen on the oil sand can be extracted using a Phase II type solvent, while producing a relatively dry tailings by-product. The Phase I and Phase II extraction processes can be carried out independently or in conjunction with one another.