I doubt that any of these birds deserve to be called introduced birds anyway, although Black Swan may be getting there. Expect disdain from Dutch birders (including me) for looking for these! But I'll try to offer some help anyway.
For Black Swan, Bar-headed Goose and Sacred Ibis, I'd check
http://waarneming.nl/ for an accessible location near Amsterdam.
There may be some moulting flock of Black Swan in July somewhere close to Amsterdam (Gooimeer maybe). If I were so inclined, I'd tick them only in the Krammer-Volkerak estuary where I've seen multiple family groups, but this is quite a long way away.
Bar-headed Goose is regularly seen around Nieuwkoop, which has some GOOD birds (like Purple Heron) which would deserve attention.
Sacred Ibis is a regular escape but hardly an introduced species. There's one close to Amsterdam at the moment. It may turn up at one of the sites near Nieuwkoop too, because a zoo at Alphen aan den Rijn was not too careful with them.
Unless there's a Bufflehead at Barendrecht, you can forget about that. It is either a single escape or a returning wild bird.
Ross's Goose is not often reported in summer (if a bird is hanging around with the summering Barnacle Geese, it is likely to be at an inaccessible location anyway). There may still be one in the Autrichepolder, which is as far away from Amsterdam as you can get in the Netherlands. Again, this bird is an ordinary escape...
The Dutch public transport system now requires you to buy a chip card, with which I have no experience...