This HN page is feels faster (I did the clean refresh before doing the ping, to avoid bias): ping is ~185ms (so speed of light is likely the difference), Goodreads is similar to HN, ping ~236ms, Google(.com) feels fast, but not as fast as to could be (10 ms ping—not sure if I'm logged in makes a difference, and ABC our local public broadcaster's site abc.net.au does feel a bit faster with the same ping time, and is probably the fastest site you could reasonable have here), and Wikipedia home page is same as Goodreads (and same ping time as well). So I'd say you're not doing bad at all (the IPs that return pings are US-based apart from Google and ABC). This is all on a desktop on a decent (for AU residential) fully-wired connection though, so I suspect introducing some packet loss (e.g. on trains going through tunnels) would give more interesting results.
Fun aside related to latency: I've sshed from France to Australia, modal editors are so much easier over those latencies, as you can effectively queue up commands and round-trip time leaves you with enough time to plan you next key strokes.