Fly Me to the Moon is a lovely throwback to the kind of films that are so rarely seen these days. Even though a lot of the film revolves around filming a fake version of the Moon landing this clearly loves Nasa and their achievements. It's a fun romantic comedy that moves between all the drama, comedy, and romance in a way that can sustain a run time that's slightly overly long.
Scarlett Johansson & Channing Tatum are a surprisingly strong pairing. Even when they're at odds or have completely fallen out, their chemistry is strong enough to make you root for them to end up together like they inevitably will and they're both given a good amount of depth to work with. Woody Harrelson uses his easygoing charm to be slightly sinister here and Jim Rash is very funny in a very broad fashion.
Greg Berlanti's direction has a nice amount of energy for the most part. There's plenty of split screen and the period setting gives it a lot more life in the visuals than most streaming films. It's just the Moon landing sequence itself that needed greater showmanship to match the reverence with which it's celebrated. Daniel Pemberton's score has a warmth to it that keeps proceedings as tonally on point as possible.