Preheat your oven to 375°F. While it heats, prepare your mise en place: soften the cream cheese to room temperature (this ensures it blends smoothly into the dip), cut the processed cheese into 1-inch cubes, seed and finely mince the jalapeño into small, even pieces, dice the onion, and drain the tomatoes with chilies very well—excess liquid will make the dip watery. Shred the Monterey Jack and cheddar if not pre-shredded, and finely chop the cilantro.
In a large skillet over medium-high heat, brown the ground beef, breaking it into small pieces as it cooks—this takes about 5-7 minutes. Drain off any excess fat thoroughly using a colander or paper towels; leftover grease will make the dip greasy. Add the taco seasoning and smoked paprika, then cook for 2 minutes, stirring constantly to coat the meat evenly and bloom the spice flavors.
Transfer the cooked beef from Step 2 to a 9x13-inch baking dish (or similar size). Add the softened cream cheese, processed cheese cubes, diced onion, minced jalapeño, shredded Monterey Jack, shredded cheddar, drained tomatoes with chilies, and chopped cilantro. Stir everything together gently but thoroughly to distribute ingredients evenly—I like to use a sturdy spatula to break up the cream cheese as I mix so it combines smoothly without lumps. Pour the evaporated milk evenly over the top; this will add a silky, luxurious texture to the final dip as it bakes.
Bake uncovered for 25-30 minutes until the mixture is hot throughout and bubbles around the edges. The edges will brown slightly and the center should be creamy and bubbling—this indicates all the cheeses are melted and the flavors have melded together beautifully.
Remove the dip from the oven and stir it gently to ensure even consistency and to incorporate the evaporated milk fully. Add a squeeze of lime juice (about 1/2 tbsp) to brighten the flavors and cut through the richness—this small addition makes a big difference! Top with sliced green onions and a dollop of sour cream for garnish. Serve immediately with tortilla chips for scooping.