Can bean-to-cup machine make quality espresso/cappuccino?
Your best bet is to buy an inexpensive Nespresso type machine. I've been looking for a good coffee machine and I bought a professional machine for nearly 900€. The other option would have been an Nespresso for about 100€. Buy one with a milk foamer. A little bit more expensive, but within your range. Why do I recommend this type of machine? Capsules! All your cups come out equal. No hassle. A little bit more expensive than grinding your own coffee.

The next best bet is consumer grade expresso machine from Krups (for instance), but then you have to grind your own coffee.