For "in common":
* Shared: "They share a love of music."
* Mutual: "They have a mutual friend."
* Common: "They have a common interest in history."
* Alike: "Their personalities are alike."
* Similar: "Their experiences were similar."
For "same":
* Identical: "The twins look identical."
* Equal: "Their salaries are equal."
* Equivalent: "This medication is equivalent to the previous one."
* Alike: "The two paintings are alike in style."
* Similar: "They have similar hobbies."
For both "in common" and "same":
* Correspondent: "Their answers were correspondent."
* Concurring: "They are concurring on the matter."
* Consistent: "Their opinions were consistent."
* Coincidental: "They had coincidental experiences."
The best word will depend on the specific context and nuance you're trying to convey.