Reaction Fire

The enemy jumps out, the soldier squeezes the trigger.

In Turn Based Tactics/Turn-Based Strategy usually called "reaction fire", in turn-based RPG "Guard" action.

A very useful feature in various turn-based games that makes units less of sitting ducks when it's not their turn to act. Usually can be turned off, especially when friendly fire is possible. Sometimes can be set up to respond on a new target in range or only to an attack.

Possible alternative names: "Reaction Attack Feature" or "They heard us coming" (if it's going to be expanded to a generic trope)

Tabletop Games

 * Alternity Warships specifies "defensive fire": before missiles, bombers and boarding pods resolve their attack, the defender gets to shoot them at point-blank range with all appliable weapons that didn't attack anything yet on this round.

Role Playing Game

 * Wizardry has "Parry / Guard" mode that allows a character to attack only if and when attacked by an enemy and rest a little otherwise.

Turn Based Tactics

 * Power Dolls has the reaction fire window that pops on every step of an enemy unit moving in range, if your unit got Action Points - so you can choose to wait until they are very close or even until another unit is close to the first one to catch them in one burst, but if allowed to get too close they may detect you and shoot first. Only direct auto-fire (D1) type weapons allow reaction firing at all.
 * X-COM series allow to reserve time units for reaction firing in Turn Based Tactics modes. X-COM Apocalypse also retains it in Real Time with Pause modes (cityscape and tactics) has 3 possible aggression levels for attacks without player input (Never / On sight / In responce).
 * UFO Alien Invasion allows this for all weapons other than hand grenades, grenade launcher (and with pseudo-shotgun loads, even it) and missile launcher. Given that this includes up to 7x flechette shells shot from a riot shotgun or 20x bullets long burst from LMG, this can be quite deadly.
 * The new Shadowrun game from Harebrained Schemes includes an "overwatch" mode which is absolutely indispensible, especially in the final levels of the game.

Turn-Based Strategy

 * Advanced Strategic Command has different number of reaction fire shots per turn for each weapon - sometimes none (e.g. a bomber will not attack any hostile unit walking by below) and sometimes multiple shots (defensive units like MG Nest), while anything can actively attack at most once. Most units stop moving when reaction fire is turned on (though still can attack anything in range) and wait until the next round before moving after it's turned off, others (like warships and Anti-Air) got Feature "Move with reaction fire on". However, each new unit walking into range can be attacked this way only once, thus e.g. submarine destroyer will fire a range 3 torpedo at the first submarine, then range 2 bomb at the second, then range 1 bomb at the third - but the first submarine after taking damage once may pass right under it.
 * In Master of Orion if a ship couldn't use some weapons (other than Heavy or Special) during its turn, it will fire these weapons (unless they are disabled) at an approaching enemy. Also, there's defensive fire - Point Defence weapons not used during the last turn yet get the first shot at missiles or small craft attacking the ship.