Yes, some sports competitions still give out solid gold awards to the winners. According to Wikipedia, the Kentucky Derby awards the only solid gold trophy in sports. Professional sports championship rings (such as Super Bowl rings, World Series rings, and NBA championship rings), are usually solid gold.
Championship belts are usually gold plated. However, there are occasionally solid gold championship belts made for special events, such as the 2013 WBC Mayweather vs. Alvarez belt and the 2015 WBC Mayweather vs Pacquiao belt.