Let's assume 15-17 for the range, but all the principles here apply to any range.

Almost everyone now agrees that 1NT should be opened with all 5-3-3-2 hands if in range. I recommend opening 1NT with 

 QJ876  
 KJ2  
 KQ2  
 A8
 

or

 KQ  
 K8765  
 AJ6  
 K102.
 

Would I ever eschew a 1NT opening with 15-17 balanced and a 5-3-3-2 hand with a 5-card major? Rarely.  Maybe with a small doubleton, something extreme like:

 32  
 AKQJ10  
 AJ10  
 432,

but still there will be a rebid problem*.

Speaking of rebid problems, when would you open 1NT with an unbalanced hand?  Something other than the expected 5-3-3-2, 4-4-3-2 or 4-3-3-3? Here are some possibilities:

6-3-2-2:  A 1NT opening with a 6-card minor (not a 6-card major--never!!) is possible. I'm fine with 1NT holding: 

 K2  
Q10  
 AJ9652  
 KQ10.
 

Otherwise, there is a rebid problem after 1-1M (not quite worth 3, but too strong for 2).

4-4-4-1 to 5-4-3-1: ACBL now allows a 1NT opening with a singleton as long as it is the queen or higher (and the hand is one of the above shapes). Don't go out of your way to do this.  It is normal to open 1 of a minor with:

 KQ87  
K 
 AKJ65  
832 or 

 K1065  
K32  
Q 
 AKJ76.
 

The only time you might open 1NT with a singleton is to avoid an awkward rebid problem. If you have a hand like:

 K  
 Q765  
 AQJ  
 A10876,
 

you'd be stuck (not quite enough to reverse, but no other good rebid) if partner responded 1 to your 1. So, it is (rarely) okay to open 1NT with that high singleton honor (if the purpose is to avoid an awkward rebid problem).  Again, don't open 1NT with something like 

 AQ54  
 A  
 K1087  
 K765
 

-- there is no rebid problem.

5-4-2-2: Similar advice to above. Don't go out of your way to open 1NT.  Open a normal 1 with 

 KJ765  
 J4  
 A2  
 AQ87.
 

Open a normal 1 with 

 K2  
 42  
 AQ765  
 AQ42
 

-- there is no rebid problem.  If you do open 1NT with 2 doubletons, it is better if the doubletons have honors.  1NT is okay with:

 KJ  
 KQ108  
 AQ  
 108765,
 

but less desirable with:

 32  
 AQJ8  
 52  
 AKJ106.

*Definition of "rebid problem" : A problem that arises when all of opener's rebids would be a lie. There is a family of hands that is more than a minimum, but not strong enough to reverse (or jump). There is no way to conveniently show the second suit.  The hand contains the wrong shape or range for a notrump rebid (not 12-14).  So, each of these hands would be hard to rebid if you opened 1 and partner responded with the dreaded 1:

 A  
 A654  
 A32  
 K10765
 

  or

 Q  
 10876  
 AKQ  
 A10876.