If I use Malamar's "Synchro Kinesis" attack and the only card that each of us have in common are Basic Energy cards, do I get to do the extra damage or not?
If you and your opponent both have Basic Energy of the same type in your hands, it's a match. Professor's Research and Boss's Orders with different characters on them also count as matches.
Source: Lost Origin FAQ; TPCi Rules Team (2022-09-08)