Šics won six medals at the FIL World Luge Championships with two silvers (Mixed team: 2016, 2020) and four bronzes (Men's doubles: 2011, Mixed team: 2008, 2009, 2013). He also won 15 medals at the FIL European Luge Championships with three golds in 2008, 2010 and 2021, four silvers in 2014, 2016, 2018 and 2021, and eight bronzes in 2006, 2015, 2017, 2018, 2019 and 2020. Šics' best individual European championship is winning the men's doubles event in 2021.