Speakers for.....every type of music?

I suggest that you listen, listen, and listen. Keep notes on what you like and what you don't. And why. And don't listen to the price tag - by that, I mean that hyped stuff isn't always the best value - you don't have to be the one who pays for the advertising.

Don't be afraid to audition the high end. You might as well find out what can be done with big bucks, and maybe you can get close enough within your budget. I did that with Magneplanar Tympani !a's of blessed memory, and cheap homemade electronics, in 1973. Think ESL's and Magnepan as well as box speakers.

And if you can't hear a difference, don't pay for it. That goes for source, amp, speakers, and cables. And don't bite when someone says, "Oh, it just needs to be broken in." Suggest that he break it in and show you.

It's a great hobby, but it's easy to pay too much. I've been at it for 50 years, and eventually, I learned to listen, listen, listen before I bought.

Good luck!

Your budget greatly determines how versatile a Loudspeaker is .
having sold Audio for years ,and  having higher end systems. In most cases the more monies to spend the less restrictions on the quality of the build .
cheaper speakers always have minimal quality Xover components ,that one reason you never hear about what is inside .and please remember normally under
30% actually goes into the speakers cost ,the rest overhead and a minimum of 40-50% dealers markup.  That is why many speakers are made overseas in their 
factories such as Zmonitir audio, B&W lesser models, acoustic zen, Kef.
in many cases designed in the states or Europe but built and QC controlled 
by these companies so build is good .for a monitor at least $1500 ,floors and 
on average $3k and up but there are exceptions to every rule .
one way to Greatly improve most speakers under $10k is upgrade the entire Xover and wiring which I did with my Smonitir Audio Studio with matching stands 
at least a 15%+ improvement .even with the powered  Subwoofer thesetoo can be improved upon. Modding gives you by far the biggest bang for the buck.
if you  want to take the time .if not just buy the best you can . Having said that 
I know the parts quality in most Xovers and fund it impossible to ignore  where the Xover is the heart of the speaker many times drivers are name brand and decent quality ,with Solen capacitors which personally I would use only on  Bass
if on a tight budget ,many also use cheap sand cast resistors ,50 cents 
when for $2 you can get Mills it Ohmite Gold 1% tolerance ,same with inductors 
cheap bobbin type ,or iron core when a %Jantzen Copper open coil ,or wax foil 
will destroy them  , even wiring many times just cheap ofc copper 
when tor $ 3 a ft youcan get 5-9ss Coppertinned Supra Rondo Wire. 
That s why buying say a 3-5 year old speaker ,then rebuild the guts for less then $700 and it will destroy many speakers that cost 2x this when new .
it is something to ponder if you ,or friends can assist you in this.

Monitor Audio top shelf speakers are extremely neutral and well built. 

To the casual listener they are too laid back, until you spend time with them and they do everything very well. 

I'm thinking Tekton, here. Fun, great dollar to capability ratio and they can rock out.

Call them up and enjoy.

Audioman says, "Modding gives you by far the biggest bang for the buck."

Absolutely agree.