Chess - play the classical game against a smart algorithm or a friend. Lots of setup options
Insights from the gaming industry
Player vs. Environment
Player versus environment, or PvE (also known as player versus monster, or PvM in some communities), is a term used in online games, particularly MMORPGs, CORPGs, MUDs, and other online role-playing video games, to refer to fighting computer-controlled enemies—in contrast to PvP (player versus player).
Usually a PvE mode can be played alone, with human companions or with AI companions. The PvE mode may contain a storyline that is narrated as the player progresses through missions. It may also contain missions that may be done in any order. For example, Guild Wars narrates its story by displaying in-game cut scenes and dialogue with non-playable characters (NPCs). To enhance replayability, missions can often be completed many times. Characters playing in this mode are often protected against being killed by other players and/or having their possessions stolen. An example of a game where this is not the case is Eve Online, where players can be, and often are, ambushed by other human players player versus player while attempting to complete a quest. Some games, such as World of Warcraft, offer the player the choice of participating in open-world PvP combat or doing quests without PvP interruption through use of specialty servers and temporary player flags.