How to show VAT/Login/Cart and search like this ?

Hi,

What do you mean by "like that" ?
If you mean "having links on images at the top of the page to go to the corresponding page in a close enough way", then it's possible.
If you mean that you want the exact same thing, then, it's still possible, but you'll need the help of a developer to customize the display and the CSS to look exactly like that.

I'll provide basic answers on your different points regarding the best way to acheive something close enough, without requiring coding:
- VAT: HikaShop can display listings of products with or without prices. You could create for example two menu items, on with the prices with taxes and on with the prices without taxes and have the two menu items on the front end allowing the customers to go from one menu item to the other on your shop. Having something more involved to allow the system to switch the display of the prices even on the product page would require the development of a small module with some view overrides. It should be quite easy for a developer.
- Login: Having a link to the login page of Joomla can be done through the Joomla menu manager, it doesn't require anything particular.
- Cart: Having the cart as a button which popup up when you click on it is not possible by default. But some templates made for HikaShop do propose such cart module by default: www.hikashop.com/download/templates-for-hikashop.html
Also, some cart modules for HikaShop to propose that:
www.smartaddons.com/extensions/commercia...kashop-joomla-module
www.mtense.com/hikashop-mini-cart-with-popup-demo
- Search: Having a search bar with ajax display of possible results like there is possible with an AJAX search module like for example this one: offlajn.com/universal-ajax-live-search/u...rch/flypage.tpl.html
It is compatible with the default search of Joomla, and thus with the HikaShop Products search plugin.