cartridge recommendation

is there any advantage with MI over MM?

@Stone1- I'll let someone else tackle your question, though some years ago (late '80s?), I had a Well Tempered -the original one, which had been heavily tweaked and used a range of cartridges, mostly MC. One key to that arm was getting the 'right' amount of fluid in the cup b/c the damping could change the sound. I can't remember all the cartridges I used with it, but did have a Van De Hul (a higher output MC) and one of those Lyra Parnassus with the unobtanium magnets. Given the price of state of the art MC cartridges today, the notion of a vintage cartridge (even if rebuilt) may make sense, see below.
@chakster (and others)- I remember many of the cartridges you list from new, back in the day. That AT20 I had new, if I recall, it was an early Shibata- and considered a very good cartridge at the time.  This was circa 1973? or so and it was installed in an AT arm that had a pneumatic lift with a hose and cuing lever that mounted flush to the turntable plinth. (It was on a Technics SP 10 back then).
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I'm just now going back and exploring some of these older cartridges- I've been using the fancy current ones, and the prices are getting daunting for top tier. I got a Monster Genesis 1000 to use as a stopgap and it is a little lean sounding, not bright, just not as full sounding in the lower midrange or as tonally rich as the Airtights I have been using for the last decade or so. But it is still breaking in and at the price, it is a phenomenal performer.
I had many Grados back in the day- they were always considered very good sounding for the money- I do remember some people had issues with hum, which may be due to the design and electrical noise thrown off from the motor? being picked up by the cartridge. 
Peter L from Soundsmith is a gift. 

The Grado MI's typically have 1/10 the inductance of most MM's - 45 millihenries vs. 450 mhenries. Smaller coils, faster transients! Way back when, the Grado FTE ($15!) was an easy recommendation for a "best buy" cartridge! Present day Grados are still great values! And they are USA-built!

whart - maybe it’s because my English is not perfect, but i didn’t understood clearly your recommendation .
especially between mm and mc.
as i wrote i have the monster alpha 2 cartridge.
right now, connected to a build in stage, it has wonderful details but sounds very thin.
a mm ortofon i have sound very colorized to me.
i totally agree with you that the well tempered is a bit pain in the ass with the fluid and other enlightenment's. 

roberjerman - grado is one of several that i consider, but i’ll try to make some more research.
that inductance , or hum that both of you mentioned is something to worry, isn’t it?

Grado can’t compete with any cartridge from my list above.
I have Grado Signature XTZ as the reference Grado

i think i prefer a new cartilage.

None of the new MM/MI for $500 is equal to those rare ones from the hey day of MM/MI. Manufacturers ask much more today for entry level cartridges build with entry level parts. It’s day and night compared to those vintage high-end MM/MI cartridges if you will look at the stylus type, cantilever material, coil wire etc... even the specs if you want to.  

None of us buyin’ used or worn cartridges when it comes to the old ones, but even NOS (New Old Stock) unit must be checked prior to sell just to make sure it works properly. Even if a cartridge has been opened and used for 5 hrs it is considered "used", but in fact a burn-in process for any NEW cartridge is about 50hrs minimum.

If you really looking just for a brand new modern cartridge then look for Garrott or Audio-Technica top models. You can secure yourself with a warranty, but the overall quality of the modern MM is not better than vintage MM for sure.

We do not have anything at affordable price equal to the quality level of Stanton 881, 981 or Pickering 3000, 4500 for example.

People will tell you about those Nagaoka, Grado, Goldring, Ortofon, Shelter MM , but you limit yourself when you’re considering only modern cartridges.

The golden age of analog is not today, it was 30-40 years ago and some of the best phono pickups produced in the golden age when each big company tried to make something special.