This is list that my OT professor (Dr. Betts) gave us from Sydney Greidanus’ book Preaching Christ from the Old Testament. (Which, by the way, you can read for free on Google books).
Here is Greidanus’ list (via Dr. Betts’ lecture):
He calls it a “redemptive-historical Christocentric” method, which includes “seven ways” of preaching Christ from the Hebrew Scriptures.
We must understand, first, the real-time-space historical context of a passage. Then we can understand the historical in light of the larger redemptive historical context.
1. The Way of Redemptive-historical progression.
Here we see that all the Old Testament is a river that flows to Christ. There is an overarching meta-narrative (i.e. Christ) in the biblical storyline.
2. The Way of the Promise-Fulfillment structure of the Old and New Testaments.
We must ask how God fulfills his OT promises in the NT, which he often does in installments (see the first and second coming of Christ). We must the OT from OT-to-NT-back to OT.
3. The Way of Typology.
A genuine type must be: (1) Historical. (2) Theo-centric. (3) Have a significant analogy with the anti-type. The type must correspond theologically with the anti-type. (4) Escalation — the type must be characterized by a greater type.
Valid typology must start with a literal-historical interpretation.
A good example of a type is the passover blood, which the Israelites covered themselves with, placed themselves under, so that God might pass them over. This, of course, points to the blood of Jesus shed for sinners.
4. The Way of Analogy.
This method puts parallel what God teaches, does for, and demands of Israel with what Christ teaches, does, and demands of his followers.
5. The Way of Tracing Longitudinal Themes.
For example: the themes of holiness, the righteous man (Ps 1), or God’s presence, can be traced through the canon of the OT and into the NT, where we see that these themes point to Christ.
6. The Way of New Testament Reference.
This one is pretty self-explanatory.
7. The Way of Contrast.
This way contrasts Christ with OT correspondents. For example, a notable one would be Adam. (see Romans 5).