If you're not interested in purchasing a pair of shoes exclusively dedicated to your table-tennis activities, you'll probably find something effective in the minimalist running or trail shoe categories.
These types of shoes are generally quite light-weight and breathable. The cushioning varies by shoe and you'll find a lot more variety regarding support options based on your pronation. Traction on the trail shoes is usually provided by vibram outsoles with multi-directional lugs. Many of the trail shoes also come with a "Lace Garage" to help prevent your shoes from becoming untied.
I am one step above a casual table-tennis player (though don't yet attend the local club) and I've played in these* with good results.
*disclaimer - That site is owned by my employer.