Prepare the Sloppy Joe Filling:**
- In a large skillet, heat the olive oil over medium heat. Add the ground beef and cook until browned, breaking it up with a spoon as it cooks.
- Drain any excess fat from the skillet, then add the chopped onion, green bell pepper, and minced garlic. Cook for 3-4 minutes, or until the vegetables are softened.
- Stir in the tomato sauce, ketchup, tomato paste, Worcestershire sauce, brown sugar, yellow mustard, salt, pepper, and smoked paprika (if using).
- Reduce the heat to low and simmer the mixture for 10-15 minutes, stirring occasionally, until it thickens and the flavors meld together.
**Prepare the Garlic Toast:**
- Preheat your oven to 400°F (200°C).
- In a small bowl, mix together the softened butter, minced garlic, chopped parsley, and salt.
- Spread the garlic butter mixture evenly on both sides of each slice of bread.
- Place the bread slices on a baking sheet and bake for 8-10 minutes, flipping halfway through, until the bread is golden brown and crispy.
- If desired, sprinkle the top of each slice with shredded cheese during the last 2-3 minutes of baking and allow it to melt.
**Assemble the Sloppy Joes:**
- Once the garlic toast is ready, spoon a generous amount of the sloppy joe filling onto one slice of toast.
- Top with another slice of garlic toast to form a sandwich.
**Serve:**
- Serve the Garlic Toast Sloppy Joes hot, with your favorite sides like fries, coleslaw, or a simple green salad.