2135 - first FTL Alcubierre drive. By 2200 it can achieve approximately 64x c. max, a high tech military ship can get to Proxima Centuari in a month. Average commercial cargo ship can reach 27x c. Can be operated in a system at much lower speeds but dirtside to orbit requires other means. Rockets, air breathing boosters, etc. Many/Most ships have shuttles for ground to orbit.
Some smaller ships, especially military, are designed to do SSTO and then star travel.
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2182 - "Pony Express" startup as fast courier service. Officially has Current Mil drives but rumors are they are faster than anyone else. Rumors are correct - they have a much more efficient fusion reactor based on dug up and reverse engineered AC tech that allows their drives to hit 125x C for short periods (~ month before major overhaul needed).
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Tech: See 2300AD/Expanse. No artificial gravity, max of 64xC - speed limited by power available from fusion reactors. Research into matter/antimatter reactors shows signs of progress and raising the speed limit.