Favorite Character: Riker, Geordi La Forge
Favorite Episode: Schisms, Quality of Life, Relics
Least Favorite Character: Troi
Least Favorite Episode: Journey's End
Riker
I enjoy the character of Riker as a vibrant and at times very focused and serious guy. I did not like at all that, actually pretty early on, they decided to tell Riker that he should move on and then Riker would stay and that would have a feeling of him being weak and soft.
I think he made a very wise move. If Enterprise is the flagship, then being 2nd in command is better than being a captain on a smaller vessel. It makes sense and Enterprise is certainly much more challenging. All the rethoric towards him becoming captain seemed flawed to me. It's like - would you rather be a VP in Apple - or be Managing Director (President) in an unknown small company? Well, I'd rather be a VP in Apple. It is silly to leave for a smaller company to just say you've been a President. It makes no sense from a career point of view.
Geordi
I really enjoy him. Although in the earlier episodes he had problems with dating, in all other respects he is laid back, passionate, driven engineer, real professional. And I love to see him work, think, research weird stuff. I would love to work in engineering too!
People here mention Data and Picard relationship. I must say seeing Data and Geordi work together is great. While Picard treats Data as his son, in a way, or his student, Geordi and Data are friends and colleagues.
Quality of Life
I like a lot of episodes, but I chose this one because it is what Star Trek is for me - exploring complicated issues and also - sciency issues, running experiments in engineering. I probably can say more about this episode, but I love how it shows a lot of everyday life on the ship as well.
Schisms
This has been my favourite for years. I have no idea why. I guess because it shows everyday life on the ship as well. I just love watching it. I also love the idea of infinite worlds and that you can randomly tap into one of them. Again, seeing Riker and Geordi and Data figure out stuff is wonderful. The scene in the holodeck, when they try to figure out how the table looks is fascinating. Gives me chills!
Relics
Relics is a very special episode. I can connect to Scotty. To a man who looks at his life and who sees that his time has passed and he finds it difficult to connect with the modern world, but wants to. This is a profound episode. This is something that says so much about us, humans, about growing old, about the value of one's achievements, about generations... Very sad episode, in a way. Bittersweet.
Troi
Never liked her character. She would rarely bring anything special to the table. Her observations were superficial and obvious to anyone who is an average observant of human character. I also disliked her in general, I just do not enjoy people like her that much - moody, unpredictable, obnoxious even. I liked her growth in the later seasons when she was given command. But other than that - I do not care that much for her.
Incidentally, I do enjoy Lwaxanna. I get people who do not like her, but I think she was funny. And underneath this funny there sometimes was a position of lifelong beliefs.
Journey's End
Many people list Shades of Gray as their least favourite, to me this is not even an episode, but rather a way to save budget, so I do not even comment on it.
Journey's End is probably something that comes to mind. I did not like Wesley as an irritated guy who did not want to help Geordy and who was not able to explain himself. That happens to people, but I did not understand why last appearance of Wesley was made in such a manner. I also did not enjoy him leaving Starfleet. In my view, this is a very weird way to close the character plot and it sort of undermines everything the character stood for during the series. Granted, many people dislike Wesley, but I definitely liked him more like a passionate cheerful kid who loves technology and stuff.