EVE Online is described as 'Massive multiplayer online game that offers limitless potential to discover, explore and conquer an amazing science fiction universe where you pilot spaceships, fight, trade, and form corporations and alliances with other players' and is a role-playing game in the games category. There are more than 25 games similar to EVE Online for a variety of platforms, including Windows, Mac, Linux, Android and Steam apps. The best EVE Online alternative is Star Citizen. It's not free, so if you're looking for a free alternative, you could try Second Galaxy or Vega Strike. Other EVE Online like games are Elite: Dangerous, Starfield, Qanga and Shores of Hazeron.
It is largely modeled after Eve, the robot fitting is similar, the modules, the industry and economy. There are some notable tweaks, and combat is more realtime with line-of-sight and obstacles. Otherwise it has be lauded as the only, and most consistent alternative to eve online. Often called: Eve with Mechs, Eve on Robot Planet, Eve-lite, etc.