Just looking at me as an NF versus the NT types:
ENTJ: I get along quite well with this type. There can often be some initial frustration in trying to mesh up with this very strong personality. Once I figure out what their "language" is, then it gets a lot easier for me. The main importance I have discovered with this type is that above all they respect and desire the unvarnished truth. If I am upset with them, they just want to know so we can deal with it. They often show their own respect for you by simply giving you the truth as they see it without sugarcoating or apologies. I think they often get misconstrued for being cruel for doing this. However, I personally would rather have the reality so that I have the information to face it instead of encouragement for me to escape into fantasy land once more.
ENTJs have quite a tough candy shell on the outside but inside there is a lovely gooey center of caring. If they are your friend or loved one, they are extremely loyal and protective.
As an Fi-dom I think the reason why I am able to connect so well with this type is because we speak the same language of Fi and Te. The N/S differences end up dovetailing quite nicely with each other, and we often both delight at the different way of seeing the world.
INTJs: My description to the ENTJ is quite similar to my interactions with this type, so I am not going to go as in depth here. The main differences are that ENTJs have a very strong forceful aura to them, and the INTJs are much softer and quieter.
INTJs take more time and patience to get to know, but are often extremely worthwhile for that wait. I find that once I have gained their trust, it's a wonderful friendship to enjoy. I am fortunate enough to have several INTJs in my life as friends and they are some of my strongest supporters. Two of them live out of state and they have both vocalized their ability to fly out if I needed them there in person for something. It always feels like no problem is ever too large to bring to them to get their input on.
Like the ENTJ there is a hard candy outer shell, with a delicious caramel center to discover. There is again that commonality with the Fi and Te that is an easy language to have in common. The N/S differences again feel like dovetailing different strengths rather than being in the way.
NTJ Overall: I find that these are types that I can be my best with and find that it enhances our friendship nicely. I get to be kind of silly/fanciful/imaginative, and these types will appreciate me for it. Similarly I appreciate their own imaginative self, their desire to be objective, and their ability to perceive the unperceivable. I often feel like I am a better person for having some of these types in my life because they allow me to be me but they balance me at the same time.
ENTPs: I find that in friendships, this is a really fun type of friend to have. I get to be extra silly and delve into the Ne ping pong that is so delightful to indulge in every now and again. I find that there are two types of ENTPs, the ones that want to be entertaining for the fun of all, and the ones who want to be entertaining for themselves. I enjoy the former a lot more than the latter. I have many ENTP friends and family simply because I am an NTP magnet. (I really need to stop chewing on wires.

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I think the problem where things can break down is that where we are similar, we are too similiar. Ne is, for me, my go-to gal of humor and silliness. Ne for ENTPs is similiar to a point where their Ti kicks in and goes "ok, this is too illogical we must stop" and that's about the point where I am just getting started having fun.
I think the second kind of ENTP can really wear on my nerves after awhile. Pranks and jokes are fun, but when they start bordering on mean, I don't like it anymore. And often when I have objected at that point, they play around with semantics to show me how I am wrong for being upset. That gets old.
INTPs: Very similar interactions to the ENTP so this description will be shorter. I think the problem again can be that we are SO similar, that when the differences crop up there is a bit of a shock. Ne, being the external easily verbalized form of our thoughts, can make it look like we are on the same wave lengths for a very long time. Then there comes a day when Ti and Fi have made their own separate opinions and boom! the end of the world has arrived.
I also find that NTPs have a very hard time reading my emotional state since I am not easily expressing of such things... and they take such stoicism as meaning I feel nothing. This causes problems quite quickly, even in friendships.
The End.