Looks a bit 90's to me.
Well, you asked for it so...
overall personally i would just slap a wordpress theme on a wordpress install.
Why the depressing grey? How about airline/sky light blue? How about taking inspiration from real airlines websites?
Changelog on the homepage? Maybe it's a thing with alphas but few will read this. Just keep the changelog on its own page.
Replace download on itch to download via itch ( not everybody knows what itch is and some might not understand coming on a website to have to download on another).
The tagline is ok, could be better but it's ok. The font is terrible thought.
That "spayed cloud" background for the plane is terrible, instead of needing it you should use a background more suitable for the plane.
imho features should be on the homepage rather than the changelog but either way:
Don't switch sides all the time, in fact i would avoid boxes altogether.
Really boxes with shadows are very 90s.
Could possibly be renamed features.
Tutorials and tips
that's a bit long, i'd just use one or the other.
not everyone is familiar with the term, i'd just name it blog
dem boxes again.
I'd use dropdowns.
Really i'd just look at the major games websites and major airlines website and just try to emulate what i can via a popular wordpress theme ( check the themeforest best selling ones of the week/month) with a high amount of excellent quality ratings.
You did ask for it so i hope you won't track me down to murder me ( well i'm using a VPN anyway ).
The website can wait for now but eventually it will be important for conversion, aka for people who come to it to actually download the game.
That's just a very quick look, but if you're willing to improve things i can take the time criticize more deeply XD
But really getting some kind of pre-made template and modifying it would go a long way.
Please don't murder me yet, i need to play the fully released finished game before i die, thank you.
I like the look of the new website and that it reflects the look of the game :-)