Texture is a discontinued magazine marketplace superseded by Apple News. The app was one of few offering easy access to popular magazines, something Apple News now handles. There are still some great alternatives.
Most relevant would be apps offering magazine subscriptions, of course. Only commercial apps exist in that space but alternatively, there are a few free options from services providing a broader range of media types.
Different from Apple News, alternatives are all available online with additional apps for use on iOS and Android.