You are never truly going straight. It's always series of orbital transfer burns to rendezvous with objects in other orbits. It needs no mention that movies over simplify everything.
In reality you would be on a galactic orbit on a solar injection trajectory to a target star, go back into a solar orbit with a long burn to be captured by that star, then the same thing again on a smaller scale to transfer again to a planet, and so on. With a fixed amount of fuel you'd have to calculate all of this and know your burn schedule for each orbital transfer for the entire trip start to finish before you left Earth. This also implies that you know the positions of multiple bodies at the start and the end as well as the trip time, etc.
To make it even more complex, you'd realistically be using a ton of gravity assists as well both in leaving the local system and arriving at the destination system, implying you know where all these other bodies will be and when they will be there over the course of many many many years.
It gets mind boggling complex really fast, despite it being so deceptively simple in principle. A little bit of extra fuel for very minor correction burns is due to the math being approximate and not possibly being able to account for every body and variable (eg: mass of other bodies is approximate and rounded, orbits are not perfectly circular, planets are not perfect spheres, a single mass is actually a cluster of smaller masses, velocities rounded, etc). The longer the distance and trip time, the greater all these small errors add up.
Movies get around this by assuming infinite energy and fuel where they just drive like car with a constant propulsive force rather than being on a free trajectory, particularly movies with warp drives and such that by design must be powered constantly to maintain a constant velocity. When you have infinite fuel and engine power you can do whatever want, including going in straight lines, since you can constantly negate any other forces acting on you. In this instance you'd be flying straight through space using constant engine power to override orbital mechanics in much the same way a plane can use constant engine power to fly straight in crosswinds, eg you have the ability to negate any other external forces at all times.
Anything else with real world reaction engines where they shut off engines and coast is always going to be on some kind of intermediate orbital trajectory within an orbital system hierarchy, and the engines themselves are only for orbital transfer delta v maneuvers from one orbit to another up and down the hierarchy. eg: planet > star > planet > moon, or planet > star > galaxy > star > planet
"It seems the orbital energy trumps your engines" < engines are for changing orbits and that's all, pretty much sums it up. We are pretty much just along for the ride swirling around with everything else and already moving pretty fast with no way to really stop or go elsewhere. You'd never have enough propellant to achieve or negate these velocities on your own. The delta v provided by even the biggest human rocket burn is really only a very minor +/- to the many km/s you are already moving. Spaceflight isn't so much moving under applied power, but more that you already moving all along and only applying a change in relative momentum to hop tracks.