2. I want it to sound very good/excellent

Then you need to start at the speakers and work backwards, as any audiophile will tell you. Start by getting the best speakers you can, then get an amp that will properly drive them at high quality.

3. I'm not big into base, so an amp that's all about changing your heart rythm isn't for me.

Again, this is the speakers that control this, and the amp merely drives the speakers.

But the thing to remember is that low bass isn't (on a properly tuned system) about making the car thump. It's about making the low parts of the music audible above road noise without making it thump. All kinds of music can benefit from a subwoofer, even quiet music and classical music. A subwoofer will make the biggest impact on how good your system sounds.