What is the best system one can make under $5000

You might start by listening to some speakers and get an idea of what you like and figure those first . Once you identify the type of speaker you're interested in it's easier to get some recomendations for other componets people use with that type of speaker .Another thing it is usually a little less expensive to look at integrated amps with a decent dac and phono stage you can always upgrade the dac and get a better phono later. 

ClearAudio or MoFi Table
Ortofon Bronze
Parks Audio Puffin Phono
NAD 3020 D integrated amp w DAC
Vanersteen 1ci or Magnepans....
wire it all with Audioquest or Bluejeans cables..

pretty amazing sound...

used....

Basis 1400
Ortofon Bronze ( new ) or a Grado Sonata 2
NAD 3020 V2 includes Phono
Vandersteen 2 signature w stands
Magnepan
Sonus Faber Toy Towers
....same wire....

You really need to let us know what aspects of sound reproduction are most important to you so you get recommendations more relevant to your specific preferences.

@soix, I am looking for a relatively fast speaker and will not be playing the loudspeakers necessarily loud. As for reproduction, I would like a system without much coloration. 

As for tube vs solid state, I would like to lean towards a system with least maintainance.