I started getting bored initially, but I soon learned it was because I was actually still ignorant of what was around me (not to imply this is the case for OP or anyone else feeling bored or underwhelmed).
I was bounty hunting by way of interdiction, figuring this was the most appropriate way to go about it. For a day and a half I did this, which is a tedious cycle of instance loading in/out of supercruise, rinsing and repeating the process of 1v1 against an NPC. It definitely gets boring, and I became distressed that this was all the galaxy had in store.
Then I noticed a resource extraction point, and decided to pop in. These places spawn multiple pirates, with rather high frequency, and you are fighting with multiple pirates, multiple security agents, asteroids in the way, and by-stander miners in ships that can own you (if you are flying around a dinky eagle like me, you are very afraid of the pythons). I'm learning a lot about combat awareness, and how to handle getting out of a tough spot when you accidentally shoot a security agent and your radar is suddenly dotted with red contacts. My vigor for play has been renewed and I'm back to being determined to make my mark in the Empire, and maybe get an imperial clipper one day.
As everyone has been saying, it takes a bit of roleplaying/imagination. I'm a bounty hunter who does some smuggling when he can for some extra bucks, and is otherwise a ruthless imperialist eager to raise in the ranks (if i can just find those darn commodities the liaison is always demanding for the initial ascension mission). I'm also a pilot who really doesn't have much of an idea what the hell is going around me in the galaxy just yet.... Still getting a grip on the scale/factions.
Also, FD has a game plan (aside from future content like planet landing etc., I mean story), I'll stay and see what unfolds.