I have an older one from Full Spectrum[1], from when they were adding their own control PCBs to generic units imported from China. The newer ones they have look nicer. There are a few other options on the market now, so it's probably worth shopping around. Larger cutting areas are nice, if for no other reason than that they limit the number of cuts you have to make on raw materials to get them to fit into the machine.
I made my own recirculating laser tube cooler using desktop PC water cooling components[2].
Beyond board games, they're useful for making tools for other projects. Need a drill guide with precise spacing? No problem, cut one out on the laser cutter. Need to prototype a coarse-pitch circuit board but don't want to wait for OSHPark or pay for a quick-turn fab? Ablate black paint off a Cu-clad board and chemical etch. Want to de-cap IC packages? You can, with some care. Interested in prototyping microfluidic structures? Sandwich some cut sheets of double-sided tape between acrylic sheet. Need to make a quick enclosure for a project? Design a box [3,4]. Cut the sides out of acrylic, and bond with dichloromethane (with ventilation!). It's great for making fixture components for things like robotics since you an easily include holes for machine screws.
They're also fun for cutting leather, cloth, etching aluminum laptops, making gifts, etc.
If you don't have access to nice commercial CAD software, DraftSight is a free AutoCAD clone that works fine for 2D drawings[5]. Otherwise, Inkscape works well for 2D, and for 3D, Rhino[6] has an affordable educational license that permits commercial use.
I have their 5th-generation machine (now just called their "H-series" machine) with the 45 watt upgrade, and am pretty happy with it so far. Their software has a few quirks, but nothing I can't work around.
I've got a Full Spectrum Hobby 5th gen (20"x12" bed). I'm very happy with it, but the build quality is not as good something you'd get from Epilog. Of course, it's a significant fraction of the price, so it's worth it for me.