God's first act on moving into the Mishkan (aka Tabernacle) was to explain the five sacrifices. (Leviticus 1-6) They are important. Even if we don't or can't do them, we can't ignore them. The first three offerings of the five described in Leviticus are voluntary. The last two are mandatory. None of them were ever capable of granting eternal salvation. That wasn't why God instituted them.

There are a few kinds of sacrifices that aren't usually counted with the main five in Leviticus 1-6, but they are each related to one of the main five:
1) Red Heifer (burnt offering)
2) Firstfruits (grain offering)
3) Passover (peace offering)