Go shopping or go for shopping?

We use GO -ing for a number of activities, esp., sports. ( NOT go for -ing)

• Go shopping (NOT go for shopping)
• We went shopping yesterday in Lulu mall (NOT went for shopping)
• When did you last go shopping? (NOT go for shopping)
• We are going shopping next week. ( NOT go for shopping )
• Why don’t you go swimming with your friends? (NOT go for swimming)
• Let’s go fishing this evening. (NOT go for fishing )
• She’s gone jogging. (NOT gone for jogging )
• We would like to go sailing during the vacation. ( NOT go for sailing )
• Next week we will go sightseeing in Siliguri. (NOT go for sightseeing )
• They are planning to go skiing tomorrow. (NOT go for skiing)
• The children went sledging. (NOT went for sledging)
• She wants to go trekking in the Himalayas. ( NOT go for trekking )
• We are going house-hunting this evening. (NOT going for house-hunting)