For the purposes of this post, I'm only going to give a brief, surface comparison: They both posit that the Christian God is the ultimate designer. Theistic evolution states that God guided the natural, evolutionary process. Old-earth creation states that God performed many acts of special creation.
Theistic evolution accepts the idea of common descent. While old-earth creation leans almost totally (I'll have a post on this qualifier later) on common design rather than common descent.
In my research, I have not been able to find any specific direct comparisons of the evidence of the two competing ideas in one place. So, I emailed a question to Reasons to Believe to get an answer. Here's the question I sent:
"Please discuss common ancestry vs. common design. What evidence do they hold in common, and what evidence is unique to each side?"
Both Fazale Rana and Hugh Ross tackle this question on their podcast I Didn't Know That this week. It is the first question answered on this episode(4:50 into the file), and the second question is related. You can listen to it here.
I will publish a post on this specific topic when I have some more time. Until then, I have a few basics in my post "How Did It All Begin? Part 4- Evolution? Really?".
If you have a question about science and/or the Bible, you can email Reasons to Believe at ask@reasons.org and listen for an answer on their podcasts. They also have a hotline that you can call to ask questions; it is open daily from 5:00pm-7:00pm PST.