NO! TOO MANY STEVES!
Oops. I mean WELCOME ABOARD / BACK!
I can't help you with the other type games, but SH3, 4 and 5 will all run on XP Home (that's what I have as well). The problem is more likely to be system management. For best results overall you need at least a dual-core system, at least 4 GIGS of RAM (8 is best for SH5) and at least a 512 MB independent graphics card (1GB is best, and onboard graphics are right out).
That said, I'm still working with a seven-year-old single-core system, and it runs SH3 and SH4 pretty well and SH5 barely. The first two are alright as long as I don't apply too many big mods, meaning graphics-intensive ones like FM New Interiors. If your system is even close to what I described above you should be alright.