The very first TTs (1999) came with smaller front wishbone bushes. They allowed less movement and better handling. When people started crashing them (lift off oversteer at high speeds) Audi recalled them and fitted bigger baggier front bushes and the boot spoiler.
The best thing you can do to tighten up the handling is replace the front bushes with stiffer ones (or use “defcon” adapters and the original bushes).
Lots of R32 suspension fits -ARBs (which rust on Mk1 TTs) etc.
I had a Mk1 225, great car – good materials, good interior, great design. Great in the snow too.
I had a genuine roof rack for carrying bikes and sofas.
As said though, not a sports car, its much more comfortable! My 350z now is much more of a sports car handling and power wise, but its not quite so well made and not as comfortable on british roads.