The mascot legendaries' main colour seems to be white and black respectively for the Sun legendary and Moon legendary, while they also respectively have blue and red eyes, just like Reshiram and Zekrom did.
The initial starter popularity race - Grass was most popular, Fire was second, and Water was the unpopular one. That of course changed when the evolutions came out.
Female protagonist wearing shorts and having a purse-like bag similar to BW's female protagonist.
Alola and Unova are both based on parts of the US.
The Alola Pokemon Center looks to be huge like Unova's Pokemon Centers. Kalos on the other hand, despite retaining the Poke Mart/PokeCenter merge, looked much smaller.
Having two Professors who appear to be family, just like the Junipers in 5th Gen.
Alola and Unova are the only region names with three syllables.