Baseball and Tennis are really gruesome on tendons, joints and ankles. Apart from colliding with a second baseman while trying to get there is also a potential concussion risk, not even talking about getting hit in the head with a wild ball or any other abstruse risk. I guess in terms of longterm damages with irreparable damages basketball might seem the safest unless you are a high-flying guard thats 6"1 and dunking over people 15 inches taller.
sure you tear an ACL here and there, but thats nothing modern surgery cant fix.