Interesting idea, but I should note that some of the modules you are listing (eg Carp::Heavy and Exporter::Heavy) are private and not intended to be called directly, some are useful but will definitely not work as expected if you push them (a lot of B::* modules), and at least one (SDBM_File) exists only as a fallback because nobody has donated a better one - I would not recommend it for production use. (Serious data size limitations, possibility of corrupted data.)

I would definitely add a few. In particular Inline, File::Temp, URI::Find, Memoize, Tk and so on. (I am not sure that I dare give a complete list of the ones I am familiar with - there are so many that I am not.)

Also I would recommend that while the Math::BigInt and so on are fun, if you really need the functionality it is probably worthwhile to go looking for things like Math::BigIntFast.