A different calendar

That’s not a WordPress site as far as I can see.

I know, I’m just wondering if there is anything more stylish that I can do, rather than the old fashion calendar style, something similar to that..perhaps.

That depends on the website building platform that you are using. Platforms have HTML 5 capabilities can enable you to make better graphics , like WordPress.

I’m sorry but these forums are for WordPress sites only.

Did you check out this plugin? They have the events list view, with some modifications would do the trick.

https://tri.be/wordpress-events-calendar-pro/