I just finished Robot. I don't have a lot of Doctor Who experience (while the show has always seemed like something I'd really like, it hasn't been something thats been very avaliable to me) but I really enjoyed this serial. Before this, the only Dr. who I've seen is the first 5 episodes with the 9th doctor. I really enjoyed those, so I went looking online and decided to try out some classic Dr. who. I decided on the fourth doctor, and watched his first serial. It was really good. Sure, the effects were kind of goofy, but wasn't a problem (using an obviously toy tank for a real one was probably the only time I thought that the effect was so stupid they might as well have not tried it). I'll be watching more of his stuff, probably going chronologically for awhile (The next stuff I'm watching will be The Ark in Space, The Sontaran Experiment, Genesis of the Daleks, etc.).
Don't skip any episodes
Just kidding. 99% of Classic Who is standalone, so, if you see stories that don't appeal to you, feel free to skip them. Some may disagree about which stories you should or shouldn't skip, but, there isn't an arc to worry about missing pieces (Though if you do watch a story, be sure to watch all the episodes in that story. 4th Doctor, most of his stories are 4 episodes, Genesis of the Daleks and 4 other stories are 6 episodes and Sontaran Experiment is 2 episodes)
One Day I hope to be the Man my Cat thinks I am
Where are we going? And why are we in this Handbasket?