1) I agree with Mark about Drop obsolete objects. It is virtually impossible to find and properly scan all code that might run against any given database that might access a particular object. Just don't go there.
2) I fire up ApexSQL Doc first thing and get it going creating a full blow set of documentation about the database.
3) I check quite a few configuration options such as statistics settings, auto-close/auto-shrink, recovery mode, growth increments, etc.
Kevin G. Boles
SQL Server Consultant
SQL MVP 2007-2012
TheSQLGuru at GMail