I just thought of some powers for a nen user with a god complex and a strong passion to change the world and his abilities that reflect that personality.
God Repulsion
Type: Emission
Ability: The user releases an omnidirectional burst of nen that has the ability "to repel all things". He can also use it partially as just a blast of energy from his hands or from his feet.
Notes: The user can use this ability to levitate or fly when used from his feet. The ability releases nen so fast it's barely seen and most ppl won't notice it is just nen but will think its some kind of psychic attack like the "force".
Partial blasts can be used back to back but omnidirectional blasts need a few seconds to cooldown. Larger blasts will result in a longer cooldown and the max range of God Repulsion is about the size of a large city.
Divine Attraction
Type: Emission
Ability: It is essentially the inverse of God Repulsion. Instead of an omnidirectional blast that "repels all things" Divine Attraction has the ability to "attract all things".
Notes: Just like God Repulsion it can be used partially with the hands. It's done by emitting nen in arc kind of like a flashlight beam. This creates a "tractor beam" effect because it is his nen that has the ability to "attract all things". He can also spin his aura while attracting objects to rotate them as if orbiting a celestial body and can speed up or slow down the rate of attraction.
Almighty Destruction
Type: Emission
Ability: Emits a ball of nen that has the same ability as Divine Attraction except the effects are much larger. The ball of nen Almighty Destruction makes will attract everything in the vicinity almost like the core of a planet and can create a large sphere of earth and debris. Once finished the sphere is usually about the size a mountain or a small island and if spin is put on it, the debris can rotate like a sattelite around a planet.
I also wanted to make Goku's abilities in HxH just for fun so here we go. Just so you know I'd consider Goku an emission user in HxH.
First the items he used when he was a kid..
Power Pole
Type: Conjuration
Ability: It's a pole that extends according to how much nen is put into it.
Conditions: Must say "power pole extend" to activate its abilities
Notes: Goku has enough nen to make it extend to the moon which is pretty crazy. I say its conjuration because we'll just say that his grandpa Gohan or Roshi or Kami conjured it originally to get to Kami's Lookout.
Nimbus Cloud
Type: ?/Specialist?
Ability: Its just a cloud that can be ridden all across the world at high speeds.
Conditions: Must be "pure of heart" to ride.
Notes: I assume "pure of heart" just means that you have no hate or regret with in you.
Now for his actual abilties...
Oozaru transformation
Type: Transmutation/Genetic
Ability: Transforms Goku or any saiyan with a tail into a great ape.
Conditions: Must look at a full moon to activate. Must have a tail.
Notes: It's a genetic ability that all saiyans have. It increases the power of the user tenfold and lets them shoot giant emission blasts out of their mouth.
Kamehameha Wave
Type: Emission
Ability: Shoots a powerful beam of energy from both hands.
Notes: Can also be used with both feet.
Flying technique
Type: Emission
Ability: Allows Goku to fly by emitting nen from his body and levitating himself.
Kaioken/Kaioken x2+
Type: Enhancement
Ability: Raises all of goku's stats (his speed, strength, nen, etc.) to its max for a "heartbeat". Kaioken x2+ multiplies his stats by whatever variable he uses (so double for Kx2, quadruple for Kx4, etc, etc.) for a heartbeat.
Conditions: Can only last for a single heartbeat. After that must cooldown for another heartbeat until it can be used again.
Notes: Goku has trained himself to control his heartbeat so he can use Kaioken for longer and make it beat faster during the cooldown. The drawback is that the sudden rush of energy causes lots of strain on the muscles in the body, especially the heart and it makes it even worse that Goku stops it from beating for a certain time to extend the length of Kaioken.
Funny thing is is that if this was the case in the actual series it would explain why Goku had died from heart disease.
Spirit Bomb
Type: Manipulation
Ability: Absorbs energy from all living things and creates a ball of energy that destroys the desired foe.
Condition: Must ask permission from living things to acquire energy, things like plants and most animals will give up energy if the user is in tune with nature, so this mainly applies to humans.
Notes: It also gathers energy from the sun. Only destroys the intended target so an ally can bounce it back at the enemy if it misses.
Super saiyan
Type: Specialist/Genetic
Ability: Allows a saiyan to transform into the legendary super saiyan form, which increases power almost as much as 50 times normal base power
Conditions: Can only be activated after suffering an extreme loss initially.
Notes: The way I think this power would work in HxH for Goku is almost like how yusuke became a demon in YYH, thru atavism. Goku is distantly related to the original super saiyan and could only achieve the power after suffering a great loss and becoming strong enough to handle the power.
Most of my ideas for different nen types are not for combat. I don't think your combat skills should depend on your nen ability. Like Bisuke's ability, she is strong in combat just by using the basics of nen.
Nen Type: Emission
Ability: Sloth
Basically, not for combat, I will emit duplicates of myself (like Razor's devils). It is intended for work / job. It would be limited to five, they will think the way I think, they will know what I know, decide how I will decide on situations. The restriction would be, the primary me will only have to rest or do anything except the job and the ability only last for eight hours.
I know it's dumb and useless but I think that if everyone trains with ren and ten everyday, and do the training Gon and Killua had during the Chimera Ant Arc (before fighting Knuckle and Shoot), everyone has a fair chance of winning in combat.
Ok so your ability is kinda like shadow clones. It is true though that not every ability needs to be combat oriented, glad someone finally made a non combat hatsu or at least not exclusively combat hatsu.