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Model V, Mark I, 
as seen in IM #142.
Model Space Armor, Mark III,
AKA Bad Blood Armor as seen in the Iron Man: Bad Blood limited series #4. Iron Manual v 2 lists this as Model XVIII. 
Model Space Armor, Mark II, 
as seen in IM #278.
The Iron Manual v 2 states this as Model X. 
The Specialty Armors are models in and of themselves. This is Mark II of the Space Armor Model. 
Here is a conceptual model of the Space Armor, Model V, Mark II.
Model Space Armor, Mark IV,
AKA the Ablative Armor-Mark I as seen in the Iron Man: Vol. 3, #71. The Iron Manual lists this as Model XXIII.
It is a prototype armor designed for space exploration in impact-rich environments, like asteroid fields...comet tails...particle storms....
The armor is layered like a honeycomb with high impact polymer tiles that pop off when damaged.  

The back's structure is a kiln that cooks up new tiles to take the place of the damaged ones.  

It can also generate an orbiting wall of tiles as chaff to knock out incoming projectiles.
Another rendition of the 1st Space armor by Paul Ryan and Bob McLeod with colors by Bongotone.
Iron Man makes the fateful decision to surrender the Avengers based on the above readings, thus saving the Avengers' lives in IM #278.
First brought out for use in IM #142.
First worn IM #142.  Had very sensitive cybernetic controls in the helmet and nuclear thrustersts in the boot jets to escape gravity.
The suit also had a automatic camera for documenting in space and exo suit gauntlets, first seen in IM #143.  
This suit used Stark's latest software to infiltrate the enemy ship, the Kree Imperial Militia IM #278.  
A little while later Stark uses his onboard sensors to reevaluate the situation.
The armor has its own internal environmental controls including an intermix mask that can be used even when the helmet is off.   

It also has programming to control movement including magnetic and jet compensators able to overcome 50 times the Earth's gravity.  It was used in conjunction with the Clement, a hypergravity spaceship used for deep space.
Model Space Armor, Mark V,
the Heavy Gravitational Armor for deep space flight at incredible speeds.  Vol. 3, #83. Iron Manual v 2 lists this as Model XXVII.
Model Space Armor, Mark VI,
the Guardians of the Galaxy Armor created for deep space adventures. Vol. 5, #5.
Iron Man adds this adaptation to go into space with the Neoclassic armor in IM #256.
Iron Man in Bad Blood #4 debuts his latest space armor and goes into battle against his prototype Evader Armors, a concept to use commercial parts to help business men and celebrities employ armor that can help rescue them out of hostile situations. 
Model Space Armor, Mark VII - Add on armor to the Mark VI - Called the Saturn V Armor and equipped for Lunar Landing as seen in Iron Man Final Frontier #1, 2, and 3.
The armor was a modification of the Bleeding Edge armor to take a vacation into space as seen in The Invincible Iron Man #527. 
Iron Man adds attachments to the NTU-150 armor for space flight as detailed in IM v1 #294.