Before H.G. Wells, time travel was something spiritual - the ghosts of Christmas Past or Future in A Christmas Carol - or accidental, as in the blow to the head of the Connecticut Yankee. Wells introduced the mechanical Time Machine, bringing time travel into the realm of human control. These trends continue in more recent sci-fi - mechanical Time Machines include the garage physics experiment in Primer, while accidental time travel includes the genetic disorder described in The Time Traveller's Wife. The blow to the head method is also alive and well in Life On Mars, a series heavily inspired by the Mark Twain novel. There are less spiritual time travellers these days. However it makes perfect sense, for example, that Nick Hornby's Sam might be sent back to revisit key moments in his life by his Tony Hawk poster as it represents a kind of father figure/guardian angel.
I've mentioned Kate and Leopold before: it's not my favourite film. However it is a good example of time travel symbolising the risks that are taken in life; and this is portrayed as literally jumping off a bridge.
The bizarre series of committee meetings that led to the creation of the Tardis has been well described. However I think it's also reasonable to think of the Police Box as an authority image, which along with the Doctor's title, is consistent with Doctor Who's interventionalist themes. Another telephone box time machine features in Bill and Ted's Excellent Adventure, perhaps as a reference to Doctor Who, but this time the process of time travel becomes a comic search through a telephone directory and network.

My final example is a classic time machine: the deLorean in Back To The Future - and as Dr. Emmett Brown says: "The way I see it, if you're gonna build a time machine into a car, why not do it with some style?"