Incidentally, sqlite doesn't provide stored procedures, but Bedrock does (using a C++ plugin capability). Otherwise, SQLite is actually very feature rich; a subset of features are here: http://sqlite.org/fullsql.html
I think Bedrock's replication is definitely more more powerful than MySQL's as well.
So in general I think it's more powerful than MySQL. I'd love to hear your thoughts about where MySQL has the edge, however. Thanks!