So, how about this for an "exciting" or "cinematic" battle? Because most other "realistic" battles I can think of would also be "boring" since they would lack the "simultanaeity" of all layers of battle.
THE BATTLE FOR THE LOOSELY DEFENDED PLANET X
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Red holds planet X. They have held it for some time, so there are minimal defenses.
Blue shows up in force and the Space Forces (SF) take out Red's minimal space based defenses. Blue starts to land Ground Forces (GF).
Red dispatches GF to combat Blue, while calling in reinforcement from nearby allies.
Ground battle wages.
Green responds to Red's call for help and Green's SF engage Blue in orbit around Planet X.
Green tries to land GF to help Red against blue on the ground. Must be able to push back Blue's SF long enough to punch a hole through to the ground.
Red, Blue and Green call for reinforcements as necessary and as available.
Other forces show up or don't.
Blue's ground objective is accomplished, or is defeated until all GF are dead or are able to call retreat.
Battle is over.