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I also did some system traveling initially i wanted to fly to that system far away that sells the anti-grav tech. But the list of destinations GM3322 etc dont really help in knowing which ones to go towards as it might take many jumps to get to that system. I did work out that if you click on Ok (or whatever it was called) when choosing a destination it will show its path and you can back out of that without accepting it.  I think it would be more initituive if the travel agent window goes to the right or left of screen and all lines from starport are drawn to all destinations it goes to and the player simply clicks on the one they want. It would save a lot of time and be more straight forward to see which destination you need to take to move you closer to your further away destination. 

Also another space game i played recently called Endless Sky had a good destination travel system for jumping between systems. You would click on the far away system you want to go to and it would draw lines to all the systems inbetween and use a blue color line according to how much fuel you had. If your destination is beyond your fuel reach, the remaining lines/links system to system to your destination would be red.  I think something like this could work- especially if traveling on a larger vessel and not having to worry about arriving at one stop and having to change flights as it were.  I think Galatic Liners are suppose to fly the furtherest but havent worked out how to find them at a Starport yet. 

I completely agree: The travel-agent UI and (also, but less, the startport UI) are painful. Your idea of showing all the possible destination (maybe with lines to them) right away on the galaxy-map is what I've had myself for a while. Starports (where the galactic-liners arrive & depart are just like other sites at a space-station (I think they are square-white with a purple star on them).

Most of these UI things don't have high priority at the moment because I have a lot to do in the content area (ways to get better items, dialog, stories, etc.) and that's what I'm focusing on at the moment. I will add a button to quickly go to the planet-information panel of the planet you're on but this travel-agent/starport UI thing will probably have to wait. (I'll probably have a look and estimate how much time it will take. If it's not too messy I will do it soon).