Have you ever been to The Joker in Utrecht? There are other stores that sell Magic there too, but The Joker is the biggest as far as I know (as someone not from Utrecht). They should be able to tell you about events in the area.
Alternatively: I am from Amsterdam. In Amsterdam there are several events to consider. Every Monday you've got the draft in the 2 Klaveren, a games cafe, this draws people of all experience levels, don't be surprised to see some of the top Dutch players show up, but there will be different tables based on player levels so you wouldn't likely have to face them if you're not on their level. You can get a good meal and drinks here. Every Tuesday there's a draft in game store Friends & Foes. Very nice people and they have smaller snacks and drinks. They do have a maximum of 24 participants which I understand they sometimes hit, so it's good to register for their events:
https://www.facebook.com/friendsfoes/. I understand that there's also a weekly FNM on Friday, but I haven't been there and I'm not even sure where it takes place, I can likely help you find more info though. I have my own games club that plays every 2nd and 4th Saturday of the month. We don't focus on Magic specifically, but you'd be welcome to come play, I just can't guarantee opponents when it comes to Magic: you have to arrange for that yourself by asking for players in one of our events. On the other hand, there will be players for other games so if you would be open to trying something else I can guarantee players for that. For our event next Saturday we're trying to get a multiplayer game of Commander together and we do have other Magic events on an irregular basis working together with a webshop based nearby. Our FB group can be found here:
https://www.facebook.com/groups/504862016265361/. I am not aware of other regular events for Magic, but there are of course pre-releases.
I've tried to list everything I know of, but what kind of games are you looking for? Are you mostly a casual player, or are you looking for competition? Do you like one on one or multiplayer? Which formats do you prefer to play? I ask because it is most enjoyable to play when you're facing people with a similar mindset, especially if their decks are at a similar power level too. If you're too far apart on either it may not be enjoyable for one of you or even both, so this is good to think about.
I would not be opposed to playing every once in a while, but I have a strong preference for casual multiplayer games, preferably the Commander format. My decks tend to fall on the stronger side, though I keep the Commander precons available for games where my own decks would overpower the entire table. I don't mind a few one on one games, but don't expect me to have a Standard deck or anything competitive oriented really (though I do have the collection to build them, I just don't really enjoy that as much as I enjoy casual multiplayer games and so never build for it). Friends & Foes would be a nice place to just sit down and play (on some days they are open during the evening).