Place almonds in a small skillet over medium-low heat. Cook, shaking skillet constantly, until almonds are light golden and fragrant, about 3 minutes. Immediately transfer to a bowl to cool for 5 minutes.
Place lime zest and juice, olive oil, honey and basil in a blender or food processor and puree until smooth. Season with salt and pepper.
Place spinach, strawberries, blueberries and raspberries in a large bowl. Add dressing and gently toss to coat. Season with salt and pepper. Top with goat cheese and almonds and serve immediately.