Yes, Sky will be likely to offer you a deal for broadband and TV. What's available will depend on your area. Details will be on their web site.
If you do not use a lot of internet bandwidth, you can also consider mobile broadband. It's worth trying before you decide and you can get a dongle (instead of the phone line) plus a month's connection for £30 or so. If it's right for you, the ongoing cost might be £15 per month. If you decided to disconnect the landline, you would probably need to give BT notice and there might be a cancellation fee if you've not had the line for long.
There are a handful of services which use a landline to confirm ID but I've not had any problems since I cancelled my landline a couple of years ago.