Several suggestions
The New Yorker - if you like well researched articles although it is more of a magazine. You can browse their site for articles and online spcials. The English is pretty advanced so this is not for a complete beginner. The Wall Street Journal - an electronic subscription is not at all that expensive. \ If you have any particular hobby you won't find it hard to locate a magazine in English that covers it. The standard selections of the National Geographic, Time (European or American editions( and Science come to mind. Dotan