Getting caught up with Detective Conan?

I'm currently on episode 193 on DC. I love it so far, but man, there are a ridiculous amount of episodes. It's a bit overwhelming and would probably take me ages to get caught up. So I decided to try and only watch the episodes that are central to the main plot / advance the plot.

Don't get me wrong, I certainly enjoy the filler-ish episodes, but I really want to get caught up with the story. I asked a friend, and he made this list for me:

"Watch 205-206, 212-213, 217-218, 238-239, 253-254, 277-278, 284-290, 304, 309-311, 323,324, 340-341, 345, 358-359, 390-391, 425, 449, 457-458, 462-465, 484-485, 487, 491-504, 507,511,568-569 580-581, 583-585, 616-621 (purely optional) 624"

I know it's a lot to ask, but does that sound right to those of you caught up with Conan at the moment? Any important episodes they left out? I did look through the Conan wiki to see which episodes are manga adaptions, but again, a lot of them seemed to be filler type episodes from reading the description, so right now I'm just trusting this guide.