Hi! First of all, welcome aboard :)
What I understand from your post is that you're looking for a more challenging gameplay than just point click kill.
In that sense, my advice would be going for any melee champ, if difficulty is what you're looking for. On the other hand, if you don't like melee, you could go for a more combo oriented class like Sorcerer, which uses elemental infusions to empower his spells, so you'll at least have to use 3-4 different skills in order to kill efficiently.
That being said, let me warn you that this game will push you to look for more optimal builds as you reach endgame. Farming currency early into the endgame is hard and time consuming, so you'll want a quick-killing mobile class to be able to farm as efficiently as possible.
At least, thats how I see it.
Now, let me give you a last piece of advice. Don't overthink and try to find the perfect class from the get go. You won't be able to find it until you get to endgame with a character and get the feel of it. Then, you will start to understand the game mechanics while you just enjoy the game.
In my first playthrough, I started as a Sorcerer. Abandoned it at lvl 33 because I wasn't feeling it. Started a Lightning Arrow Deadeye and got it up to lvl 96, until I got a bit tired and wanted to play something else. Ended up playing as a Blood Mage, which is kinda similar to what I was having with Sorcerer, but this time I knew what to expect from the endgame and understood that Blood Mage fit my farm optimization goals way better than Deadeye.
I hope this helps you a little.
Hit me up if you have any further questions about the game