In the Star Wars novel The Truce at Bakura, Luke Skywalker is able to extract a deadly parasite he was poisoned with with from his lungs using the Force. In the Clone Wars cartoon series, several of the Jedi Masters are able to dismantle droids and use their nuts and bolts to rip through them.
A Jedi cannot manipulate an android's mind per se, but if you follow the canon of story where they are insanely powerful and able to manipulate things on a small scale using the Force, then it could be reasoned that a Jedi with the knowledge of building and programming droids (e.g. Anakin Skywalker), could reprogram a droid using the Force; effectively altering/controlling its mind.
Droids dont have a conscious mind. I think its common knowledge that robots have computers, not brains. It is shown throught the series that ind tricks only work on the weak MINDED. This is shown when Luke attempts a mind trick on Jabba The Hut. You could see an example prooving this too when Ben Kenobi tricked the Stormtrooper using the old favorite quote: "These are not the droids you are looking for."
In summary: Mind tricks only work on weak minded, droids do not have inds therefore a mind trick would be useless against a droid.
Droids can be Jedi as seen in the comic Skippy the Jedi Droid, therefore, that makes droids one with the force just as all living things. So I think a Jedi mind trick could work on a droid