Seven directly related to shadows/shadowfell

I've found seven by searching on dndbeyond.com for "shadow", "shadows", "shadowy" and "shadowfell" filtering by spells:

• Shadow Blade (sorcerer, warlock, wizard) - Xanathar's, 164
• Shadow of the Moil (warlock) - Xanathar's, 164
• Vampiric Touch (warlock, wizard, death/grave domain clerics) - PHB, 284
• Illusory Dragon (wizard) - Xanathar's, 157
• Creation (sorcerer, wizard, artificer, forge domain cleric) - PHB, 229
• Pass without trace (druid, ranger, trickery domain cleric, circle of the land druid) - PHB, 243
• Demiplane(warlock, wizard) - PHB, 231

These spells include direct language on their association with shadows or the shadowfell.

Three indirectly related

• Summon Greater Demon (warlock, wizard) - Xanathar's, 166
• Forbiddance(cleric) - PHB, 243
• Dispel Evil and Good(cleric, paladin) - PHB, 233-4

I didn't include these in the primary list because, while they reference the shadowfell amongst other areas, they are just as a part of the mechanic that includes the shadowfell, but doesn't really directly utilize shadows or the shadowfell.

Some Shadow-based classes provide spells that are thematic

The Way of Shadow monk grants you the ability to cast the following additional spells not already listed:

• Darkness(PHB, 230)
• Darkvision(PHB, 230)
• Silence(PHB, 275)
• Minor Illusion(PHB, 260)

The Unearthed Arcana Warlock of the Raven Queen also has an expanded thematic spell list. The Raven Queen is relevant as she is listed as:

a mysterious being who rules the Shadowfell from a palace of ice deep within that dread realm.

• false life(PHB, 239)
• sanctuary (PHB, 272)
• silence (PHB, 275)
• spiritual weapon (PHB, 278)
• feign death (PHB, 240)
• speak with dead (PHB, 277)
• ice storm (PHB, 252)
• locate creature (PHB, 256)
• commune (PHB, 223)

There isn't a single class that will grant you all of these

After reviewing the classes the spells are on, there is no single class that will grant you all of these RAW.

_{Thanks to someone_evil and akixkisu for filling in some gaps.}