First is, of course, the Netherlands. The Metropole, The Sireland. It's, well, rich and highly developed, and it's basically Benelux, but slightly larger. It is ruled by the House of Orange-Nassau, its current monarch being Albert I. There are three important dukes here - the Duke of Brabant (Johan V, brother of Albert), the Duke of Flanders (Philip VIII [the OTL King of the Belgians]) and the Duke of Luxemburg (Henri [same man as OTL]). Important cities here are Amsterdam, Brussels, Antwerp, Rotterdam, The Hague, Triers, Groningen, Liege, Ghent, Brugge, etcetera.
Next up are the West African cities (West-Afrikaanse steden). These are just a bunch of OTL Dutch forts that the Netherlands retained and they grew into proper cities, except for Coenraadsburg, which is a city at the mouth of the Forcados River.
The Dutch make it to South Africa (Afrikaans: Zœyt-Afrika) around the same time as OTL and send more colonists there. I'm not at all a South African history aficionado, so I can't delve into the details. Also, the Eternal Anglo doesn't take it away from our orange friends. Important cities: Johannesbœrg, Kaapstad, Pretorië, Blœmfontein, Potgieterstad (Upington), Nelspruit, Vooruitzigt (Kimberley), Pietersburg (Polokwane) and Mosjawenk (Gaborone).
Still with Africa: to the very south of it, the Dutch possess the Kerguelen, here called Nachtegaal, islands (broken up in three parts in the map because of how far-spread the islands are). Let's just suppose that they're more hospitable, and thus there are more Dutch people down there.
Suriname is called Soerenant ITTL. The Dutch called it Surrenant in 1617, and I just thought Soerenant looked better. Simple as. Originally it was going to be just Suriname because French Guiana was a German (HRE) possession called New Hanau, but I decided against it because I replaced that shitty HRE possession with something larger... You'll see, someday (read: when I get to it). Largest cities: Nieuw Delft and Amaliastad (Paramaribo and Cayenne, respectively, named after Frederick Henry's hometown and his wife).
Aurelia (Aurelian Frisian: Auräälje, Aureliaans: Aurelië), also known as New Holland (Aurelian Frisian: Nüwe Hôlläänt, Aureliaans: Niewe Hollant) is western Australia, but greener. Australia is total ASB ITTL since it's got very big geological differences from its OTLs counterpart. Yeah, ASB stuff features prominently in many areas of my map... Anyway, Aurelia was colonized by the Dutch starting with visits in the early 17th century, more expeditions by the middle of the century, and proper colonization at the very end of it. Frisians migrated in very high numbers there. Don't ask for reasons, I don't have them. Biggest cities: Lauwerseach, Diemenstêd, New Dokkum and Hillige Willibrord fan de Kap (placement not yet decided... one of them has to be OTLs Perth, though)
The Dutch also have a ton of ports and exclaves in India and Indonesia which are important trade hubs. In Indonesia, they've got the ports of Betuwestad, Soerabaja, Lampoeng and Bengkoelen. In India, they've got Soeratte, Poelikat, Jaggernaikpoeram, among others. In East Asia, they hold the port of Wiehawijt and have a significant presence in the Island of Jeju (Quelpaert) and many ports in Japan. Most of these, however, are not Dutch possessions, but I still marked them as such because of their importance for the Dutch in the area. The only actual possession they have in Japan is Desjima.