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Torx and E-Torx set is the biggest differentiator specifically for BMW. Allen sockets up to 14mm in size are also useful for some plugs (diff, transmission, etc.). Make sure your regular socket set (and wrench set) doesn't skip sizes (in shallow and deep sockets), you'll find everything from 6mm to 19mm somewhere on the car. Ratchets, extensions, universal joints, etc. are not any more unique than most car brands and depend on the specific task at hand and how much of the car you can take apart to gain access (meaning get more as the need arises based on DIY guides). Powered socket driver (either gun style or air ratchet style) will speed up undertray removal and reassembly (these are held on with a large number of fasteners).
For the specific fasteners, I would try to pry them with a trim tool (plastic and metal), the cross head might be a red herring.
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