When building on Mars you need to seriously consider measures to
protect the inhabitants from cosmic radiation. You can cover your very first Martian outpost with few meters of regolith or use expensive materials with radiation blocking properties but
for larger structures the obvious choice is to build underground. Lava tubes could be a solution but they are not present everywhere on Mars. So most likely you will need to dig your habitats.
One of the building types perfect for Mars could be
earthscrapers (or would you call them
marsscrapers on Mars?) - inverted underground skyscrapers with
large vertical central void (covered with a transparent dome on the surface) for natural lighting. The living and public space is arranged in multiple levels encircling that central void. Here is
an example of such structure designed by Fernando Castiñeira, Hernan Goldfarb, Alejandro Ispani, Alex Nelken, Javier Maratea & Malena Verni for
2007 Skyscraper Competition by eVolo.us
Simple diagram of the design: