The other game we managed to get through on our 'rainy day at Tims' was Quartermaster General 1914. This one is rather more involved than QMG WW2, and requires a degree of preparation and planning by the players. I really like the points scoring only happening every few turns as it encourages players to plan their objectives for the year, unlike the WW2 one where it is every turn. It better reflects the more deliberate nature of WW1.
The Central Powers were Russell (Germany) and Tim (Austria-Hungary and Turkey), while the Entente was Pete (Russia), Lloyd (US/UK) and myself (France/Italy).