I am including all the items from your list for the sake of completeness, but I do not have appearances for all of them because I don't have all schematics. In any case where there's a question mark beside an item, that item is not shown in the appearance image; whatever the character happened to be wearing is shown instead (this is the case with headgear more often than with other items). There are some where I don't have any pieces at all, and I haven't put question marks there, just leaving the entries as placeholders.
Heavy
Republic Appearance
50 - Fortified Electrum Headgear
50 - Fortified Electrum Greaves
50 - Fortified Electrum Chestguard
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Republic Appearance
47 - Reinforced Diatium Headgear
47 - Reinforced Diatium Greaves
47 - Reinforced Diatium Chestguard
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Republic Appearance
43 - Peacekeeper Elite Headgear
43 - Peacekeeper Elite Greaves
43 - Peacekeeper Elite Chestguard
The Peacekeeper Elite set is restricted to Jedi Knights and Troopers
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Republic Appearance
39 - Reinforced Phobium Headgear
39 - Reinforced Phobium Greaves
39 - Reinforced Phobium Greaves
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[While I have the schematic for the headgear, the model viewer preview is unhelpfully tiny]
35 - Fortified Phobium Headgear
35 - Fortified Phobium Greaves (?)
35 - Fortified Phobium Chestguard (?)
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[As previous!]
31 - Reinforced Chanlon Headgear
31 - Reinforced Chanlon Greaves (?)
31 - Reinforced Chanlon Chestguard (?)
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Republic Appearance
27 - Knight's Crusade Headgear
27 - Knight's Crusade Greaves
27 - Knight's Crusade Chestguard
The Knight's Crusade set is restricted to Jedi Knights and Troopers
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Republic Appearance
23 - Reinforced Battle Headgear (?)
23 - Reinforced Battle Greaves
23 - Reinforced Battle Chestguard
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Republic Appearance
19 - Peacekeeper's Headgear
19 - Peacekeeper's Greaves
19 - Peacekeeper's Chestguard
The Peacekeeper set is restricted to Jedi Knights and Troopers
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15 - (?)
15 - (?)
15 - (?)
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11 - (?)
11 - (?)
11 - (?)
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Light
Republic Appearance
50 - Annointed Zeyd Cloth Headgear
50 - Annointed Zeyd Cloth Leggings
50 - Annointed Zeyd Cloth Vestments
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Republic Appearance
47 - Traditional Brocart Headgear
47 - Traditional Brocart Lower Robe
47 - Traditional Brocart Vestments
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Republic Appearance
43 - Consular Adept Headgear
43 - Consular Adept Lower Robe
43 - Consular Adept Vestments
The Consular Adept set is restricted to Jedi Consulars and Jedi Knights
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Republic Appearance
39 - Traditional Demicot Headgear
39 - Traditional Demicot Lower Robe
39 - Traditional Demicot Vestments
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Republic Appearance
35 - Annointed Demicot Headgear
35 - Annointed Demicot Lower Robe
35 - Annointed Demicot Vestments
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Republic Appearance
31 - Traditional Thermoweave Headgear
31 - Traditional Thermoweave Lower Robe
31 - Traditional Thermoweave Vestments
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Republic Appearance
27 - Jedi Sage's Headgear
27 - Jedi Sage's Lower Robe
27 - Jedi Sage's Vestments
The Jedi Sage set is restricted to Jedi Consulars and Jedi Knights
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Republic Appearance
23 - Traditional Nylite Headgear
23 - Traditional Nylite Lower Robe
23 - Traditional Nylite Vestments
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Republic Appearance
19 - Consular's Headgear
19 - Consular's Lower Robe
19 - Consular's Vestments
[Note: I don't actually have the schematic for the vestments, but I extrapolate that this appearance is correct, as it comes from a non-crafted orange robe called "Noble Consular's Vestments" and an equivalent 27th level item, "Noble Jedi Sage's Vestments," looks identical to the crafted Jedi Sage's Vestments.]
The Consular's set is restricted to Jedi Consulars and Jedi Knights
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Republic Appearance
15 - Force Initiate's Headgear (?)
15 - Force Initiate's Lower Robe
15 - Force Initiate's Vestments
The Force Initiate's set is restricted to Jedi Consulars and Jedi Knights
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Republic Appearance
11 - Jedi Initiate's Headgear (?)
11 - Jedi Initiate's Lower Robe
11 - Jedi Initiate's Robe
The Jedi Initiate's set is restricted to Jedi Consulars and Jedi Knights
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Medium
Republic Appearance
50 - Resilient Polyplast Headgear
50 - Resilient Polyplast Leggings
50 - Resilient Polyplast Vest
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47 - Ablative Resinite Headgear
47 - Ablative Resinite Leggings
47 - Ablative Resinite Vest
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Republic Appearance
43 - Sentinel Elite Headgear
43 - Sentinel Elite Leggings
43 - Sentinel Elite Vest
The Sentinel Elite set is restricted to Smugglers and Jedi Knights
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Republic Appearance
39 - Ablative Lacquerous Headgear
39 - Ablative Lacquerous Leggings
39 - Ablative Lacquerous Vest
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Republic Appearance
35 - Resilient Lacquerous Headgear
35 - Resilient Lacquerous Leggings
35 - Resilient Lacquerous Vest
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Republic Appearance
31 - Ablative Plasteel Headgear
31 - Ablative Plasteel Leggings
31 - Ablative Plasteel Vest
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Republic Appearance
27 - Battle Master Headgear
27 - Battle Master Leggings
27 - Battle Master Vest
The Battle Master set is restricted to Smugglers and Jedi Knights
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23 - Ablative Laminoid Headgear
23 - Ablative Laminoid Leggings
23 - Ablative Laminoid Vest
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Republic Appearance
19 - Sentinel's Headgear
19 - Sentinel's Leggings
19 - Sentinel's Vest
The Sentinel set is restricted to Smugglers and Jedi Knights
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Republic Appearance
15 - Aspiring Knight's Headgear (?)
15 - Aspiring Knight's Leggings
15 - Aspiring Knight's Vest
The Aspiring Knight's set is restricted to Smugglers and Jedi Knights
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Republic Appearance
11 - Apprentice's Headgear (?)
11 - Apprentice's Pants
11 - Apprentice's Leathers
The Apprentice set is restricted to Smugglers and Jedi Knights
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