Spicing Up Logical Deduction Games
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The following idea comes from The Gamer No. 1.  It can be applied to many
logical deduction games (though not all).

The idea is that when you ask a question you also have to give the answer
as if you had been asked it.  In this way you have to formulate a question
which gets you information but doesn't give too much away.

Eg. In mastermind you would both use a set and take it in turns to make
a guess at your opponent's combination.  However, whenever you make a
guess as well as your opponent marking your guess w.r.t. their code,
you also have to mark your guess w.r.t. your code!

Other games this could be applied to include:
Jotto / Word Mastermind
Black Box
Guess Who (multiple people, see the house rules I use for this)
Zone X
Battleships
Hangman (!)

and many more