Orthodox Jews do. There are several places in our daily prayer services where we pray for the restoration of the Temple and the resumption of its rituals, including the rituals of sacrifice. Most types of offerings could and should be eaten. Certain types were eaten by the kohanim only, or by a specific kohein. The types of offerings and who was permitted to eat them will be discussed further below .
Animal sacrifice is no more cruel than slaughtering animals for food.
The Torah is very concerned about the proper treatment of animals , and would never advocate a cruel procedure for animal sacrifice. It is important to emphasize that under the Torah, sacrifice was never the exclusive means of obtaining forgiveness, was not in and of itself sufficient to obtain forgiveness, and in certain circumstances was not even effective to obtain forgiveness. This will be discussed further below . In current Jewish practice, prayer and study of the laws of sacrifices has taken the place of sacrifices. For more information about this, see Jewish Liturgy .