Here is my list:
Godzilla: King of the Monsters
This movie is basically tailor-made for Godzilla fans. Is it an objectively good movie? Maybe not. But I love it to pieces because it's got everything I wanted out of a Godzilla movie. Cool monster scenes, great monster fights, human characters I actually like, fantastic visual effects, and the correct characterization of the monsters.
Nausicaä of the Valley of the Wind
I was a bit skeptical of this movie at first, but I have come to love it more than almost any other movie. Every part of this movie is pure perfection, from the animation to the characters to the voice acting. It's the best animated movie by far and really stands head and shoulders above other Studio Ghibli movies, which I all love but this is just something that could touch the stars.
Kong: Skull Island
If the word "Fun" were a movie, I would say Kong: Skull Island is that movie. It's amazingly executed on every level, from the direction to the acting (especially of Samuel L. Jackson, the soldiers, John Goodman, and the guys who played Kong). This is the King Kong movie where he finally breaks away from that tired old story from the 1933 film. It's action-packed, quippy (in a good way) and filled with memorable moments. A 5/5 kaiju movie.
Godzilla (2014)
This is much different from any other Godzilla movie out there. It actually follows Godzilla as he makes his way to doing stuff! Amazing. This is the second attempt America has had at Godzilla and they absolutely wrecked it (in a good way). This is a faithful adaptation of one of the most famous movie monsters of all time, is basically what I'm trying to say.
My Neighbor Totoro
This is probably Studio Ghibli's most famous movie, and their second-best. It can be described with one word: Whimsical. That's it. That's the movie. The world of this movie is magical and heartfelt and just so uplifting that watching it makes you feel like you just got a big hug and maybe the world isn't so terrible after all.
Pokemon: The First Movie
Out of all the movies on this list, this is probably the one that's thought of as the worst. I think personally it's the best of the Pokemon movies, granted I haven't seen very many of them (there's a lot, ok) but it's still really good. The problem with this movie is that you need to be a fan to fully appreciate it, so mission accomplished for me I guess.
Godzilla vs King Ghidorah
This is the last kaiju movie, I swear.
This is the finest Godzilla movie Japan has ever produced. While I do love the atmosphere surrounding the other Godzilla movies produced during this time period, this one has the strongest story. It's ripping off Back to the Future, sure, but it at least does it well. This one is a bit more hardcore Godzilla material though, so I advise against viewing it first.
Die Hard
My father was the one who first introduced me to this movie, on a December night in... I can't remember when but it was a while ago. Anyway, I fell in love with this movie from start to finish. It's excellent popcorn entertainment, but also a really good movie in general, with great pacing, action, performances, and cinematography.
The Death of Stalin
The problem with most comedy movies nowaday is that... they're just bad. Not with The Death of Stalin though, this is hilarious from start to finish, especially if you're a history buff. Some of the stuff in this movie actually happened, not exactly as depicted, but it did happen. If you're a fan of nonstop jokes punching you in the gut until you can't breathe, this is the movie for you.
Jurassic World
This movie probably has the most nostalgia value to me, as I was in elementary school when it came out. Really wanted to see it in theaters, but I didn't. Anyway, this is perhaps the best dinosaur movie ever made, with great action, visual effects, a good screenplay, and fine performances across the board. It can get a little silly at times, but the ending of the movie alone is worth the price of admission.
Sorry for the long post, I am just very enthusiastic about this.