I kind of like Odin, with its Pascal/Modula-2 influences, even if the community is a bit hardcore on some of their ideas. Love the books in the background, and the whole video. It is also nice that Odin takes the batteries included approach. How well it would fair in the mainstream remains to be seen.
What kinds of project would Odin be best suited for, as compared to, say, Rust or Go?
Rust is shockingly good at being a general purpose language, but that's in the face of the strict semantics of the language and approach to memory. There became a comparison against Go because Go offers strong performance and a complete opposite memory-management experience (in having a GC that largely solves it for you.) Odin sits between these two levels of friction, leaning far more on the Go side of things. There are goodies in Odin which make memory management much breezier than other manual languages, but I'll admit it is still a task you are expected to complete.
So that's the story on the memory-management effort. That aside, I'd say Odin is best for interactive applications where a GC is not an option. Although at this point it comes out of my hands so easily that I'd probably write Odin in some situations where it'd be less optimal, and it'd be fun so why not?