Preheat the oven to 400°F (200°C) and line a baking sheet with parchment paper.
In a mixing bowl, combine the room-temperature cream cheese, finely chopped green onions, garlic powder, and 2 teaspoons tamari or soy sauce until smooth and evenly mixed.
Spoon about 1 rounded teaspoon of the cream cheese filling onto the center of each wonton wrapper.
Brush water around the edges of each wrapper, bring the corners together over the filling, and pinch firmly to seal each rangoon. Place sealed rangoons on the prepared baking sheet.
Brush the tops of the rangoons lightly with toasted sesame oil.
Bake for 12–15 minutes until the wrappers are golden and crispy; if they brown too quickly, tent with foil.
While the rangoons bake, whisk together the sauce: honey, ketchup, 1–2 tablespoons chili sauce, lime zest, lime juice, rice vinegar, 2 teaspoons tamari or soy sauce, grated ginger, and grated garlic until smooth. Stir in the chopped Thai basil or cilantro.
Serve the baked rangoons warm topped with additional chopped green onions if desired and with the sweet ginger chili sauce for dipping.