All banks are after your business, if they have your money then they themselves can make more money by investing it and such like. Many banks offering incentives to join them, but this article is specifically about 2 banks that offer you a cash incentive to join online and bank with them. They are both good companies to bank with too, so nto only will you be getting some free cash for joining them, but you will also be with some good banks that will hopefully be good for you to bank with in the future.
The first bank is First Direct, they offer a £25 free cash into your account if you join them online, on top of this, they also offer a £500 fee free overdraft and a whole range of other features, such as being able to bank and speak to someone 24 hours a day, 7 days a week, they will even send out text messages if for example you are going overdrawn.
The second bank is Lloyds TSB and they are offering £30 free to your account if you join them, again they offer service such as being able to speak to someone 24 hours a day, 7 days a week.

That alone is £55 free cash to you. Wwe do however suggest you make sure you read to check any requirements for banking with them.