Over in Adelaide, South Oz, an extremely common weed is 'Oxalis' (TIL: a type of 'Wood Sorrel'[1]) It's also called 'Sourgrass' or 'Sour-Sobs', colloquially around here. It seems to pop up nearly-anywhere-that-it-can and very quickly too once it's rained a bit at the start of winter. Also dies-off completely for a good chunk of the year and I think it has a bulb-like way (as well as its tiny seeds) of staying-there.
We also have bigger-than-garden-level problems (in the state) with stuff like Gorse, Broom, Blackberry (which seems especially invasive), Patterson's Curse, loads more! Heck even Nasturtium gets a pretty-good-go around here, though it's apparently not considered invasive yet [2].