Hi rydamusprime!
I have never under my 10 years of using SSF seen anything quite like that.
If you want me to help you further you have to provide a little more information.
First things first, what OS are you on and what version of SSF are you using? I'm on Windows 10 using SSF_012_beta_R4 and I don't get what you're seeing.
Secondly, where did you get your copy of SSF? Always make sure to get the latest official releases from here:
http://www.geocities.jp/mj3kj8o5/ssf/
Thirdly, have you tried deleting all the .ini configuration files and the game specific ones under SSF/Setting/Saturn?
Fourthly, what is your current hardware setup? SSF have been known working quite well with every piece of hardware I have thrown at it over the last decade and it's not requiring a super computer to operate but unless you're not on a Pentium II or something older then you should be fine.