To answer each point in turn;
1. You're a new developer with no professional experience who wants a reasonably well-paid job on your terms rather than an internship/junior role. You're going to end up doing the boring stuff. On the specific task you mention - that's either a fairly trivial exercise in regular expressions or a reasonably interesting task refactoring a codebase to use a proper database abstraction. Either way it's not that boring. I can think of much more boring coding things.
2. Don't look for roles at big companies then.
3. Every company has things that look bad from the outside but there's usually a reason for it. Don't judge. You'll be responsible for writing some pretty horrible code during your career. I guarantee it.
4. Some startups have plenty of cash and are absolutely desperate for developers. Look here: http://workinstartups.com/ (if not there, there might be a more Netherlands specific version somewhere.)
5. Yes, you can network. Finding events is easy (Google, Meetup.com, etc). There's loads of them everywhere. Also, ask your tutors/professors. They'll be pretty well connected. And go old school - Google for local software companies, find their email addresses/phone numbers, and reach out to them. You will be amazed how happy people are to help you.
EDIT: One more thing.. don't underestimate the value in getting a job that isn't anything to do with coding. For example, working in a restaurant would give you plenty of 'soft skills' experience dealing with people. Being a 'people person' will set you apart from other developers later in your career. It's worth thinking about.