I think it really depends on what I say and what local reference the listener has as to whether I sound Kiwi or Aussie to somebody. If I'm yelling at the footy, I know I sound Australian (after all, "barracking" for a team and telling them to "CAAAARN!" [come on] are of Melbourne origin), but if I'm holding forth on a Kiwi topic I can really lapse into the Kiwi side of my accent.
that kind of reminds me how sometimes i can pick up little elements of someone else's accents if i talk to them. i mean, nothing major, i won't suddenly start speaking with a fake english accent or something, i'll just notice during a conversation i'll say a vowel the way they do or something. i've always called it accent velcro.
as for coming up with a list of words, in addition to crayon, poem, and dance/chance, one can just plagiate from the quiz:
caramel, been, lawyer, mayonnaise, coupon, route, pyjamas, pecan pie (the way i say it wasn't even on there), syrup, mary/merry/marry*, cot/caught*, herb, dew, aunt...there's a lot here:
http://www4.uwm.edu/FLL/linguistics/dialect/maps.html (only about the first half is pronunciations while the second half is more grammar, but it's still a lot)
*i know of more mergers should anyone find that of any interest: father/bother, lot/cloth, foot/goose, pin/pen, toe/tow, line/loin, coil/curl, mare/mayor, taut/taught, trap/bath, wine/whine