The ranger sighting is quite famous. You can find accounts online. A ranger called Hans Naarding had slept in his car one night out on his run and woke up periodically in the night to check out the surrounds, spotlight fell on an adult Thylacine. He watched it for a little while actually. It's generally accepted as one of the few genuinely credible sightings since 1936, and the tassie wildlife service mounted a six month search based on it. The report they filed has recently been released under the freedom of information act actually. They concluded that there was enough evidence to state that it was extremely likely the area was used by a number of Thylacines. This is in like 1983....mind blowing really.
The shooting is a little more vague. A pair of hunters near a ruin called Adamsfield shot what they thought was a feral dog. The story goes they pretty quickly worked out it was a tiger and did take several photos of the carcass, but obviously they were very secretive about the whole thing. Given the tiger is both extinct and protected according the the govt they were worried they'd face jail time. I don't the pictures have ever been made public. This book had a grainy shot of the paw, which is the only photo that's ever been seen publicly I think. It's clearly not a dog, the paw is asymmetrical. Anyway the author claims to have seen the photos and that they absolutely show a Thylacine, and the kill appears fresh.
I think they're still around too, personally.