Rogue
Monk
Cleric
Paladin

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I've got
-Striker abilities in the Rogue and the Monk
-Skill monkey in the Rogue
-Healing in the Cleric and Paladin
-Tanking in the Paladin and Cleric
-Face in the Paladin
-Nova damage in the Paladin

The major thing I am missing blasting.

So, my final party:
-Arcane Trickster Rogue for some extra damage, illusions, and charms. Also takes Ritual Caster to fill in some holes
-Way of the Shadow Monk for striking, scouting, and assistance in sneaking
-Light Cleric healing and blasting from the subclass
-Really whatever Paladin like