I haven't soldered together a computer yet (although I am eyeing the MTM Scientific 5150 motherboard kit, as soon as I both have the dough, and maybe if I can source some good 5.25 inch drives, and a good case etc.), but I am I legacy hardware enthusiast, so I can say why I like it.
Being 16, I haven't been able to experience enthusiast computing up until rather recently, with my first machine that I built myself being an FM1 AM2 llano-based machine. Building legacy machines like my Socket 3 486 machine, my Pentium Pro, and others, lets me experience a period in computing that I wasn't around for, similar to how Techmoan likes to mess around with older Hi-Fi gear that he wasn't around to see either.
It also lets me engage in my enthusiast nature. Since all the parts are so relatively cheap, I can afford to make decked out configurations that would make a PC enthusiast's brown khakis turn into white slacks. My Pentium Pro machine, which I place at a 1996 vintage, has a Voodoo 1, ATI Mach64/GX 2MB, SB32 CT:4670, a whole Ultra160 SCSI subsystem utilizing a 147GB 15,000 RPM SCA-80 Ultra320 hard drive (for speeds to surpass the traditional ATA-33). Don't forget the 96MB (Expandable in the future to 256 if I want to drop cash on it) of 72-pin EDO DRAM. This is a configuration I have calculated to be in parity price of thousands upon thousands of dollars, of which I only paid 200-300 of.
It's also just a hobby. I do locksmithing, cooking, (eating), reading/learning, programming, political debate, biking, and more. I enjoy just tinkering with these old machines and keeping a piece of history from the scrapyards. The games are also quite nice to be played on original hardware.