Ah... The Phantom of Baker Street will always be my absolute favorite. It's one of only two Conan movies I can watch over and over again without getting bored.
The other one is Countdown to Heaven. For a while, I was debating on whether I liked movie 5 or movie 6 more, and after watching them both back to back, I can very easily say I like movie 6 a lot more. But movie 5 is still very good.
Pretty much I like the movies where there isn't too much of a focus on Ran being in danger. I just... sorry, I can't bring myself to care for her at all. I don't hate her, but... I don't like her much now either. She's just... there, to be Shinichi's (boringly predictable) love interest and to be the damsel in distress. It's boring and old.
In order:
1. The Phantom of Baker Street
2. Countdown to Heaven
3. The Raven Chaser (say what you will about it, I thought it was intense and great.)
4. Lost Ship in the Sky (I thought it was funny and interesting. I'm not as obsessed with Kaitou KID as others seem to be , but I still like his character and enjoyed the movie.)
5. Private Eye in the Distant Sea (I liked it for the most part... up until Ran nearly drowned. Ignoring that, everything was good.)
6. The Fourteenth Target (up until Ran got taken as a hostage, haha. But I did like how she gave air to Conan to save him.)
7. Quarter of Silence (Dramatic ending.)
8. The Time-Bombed Skyscraper (Honestly, I don't remember much about this movie, haha. I do remember thinking it was intense though... but I've only seen it once, years ago.)
9. Magician of the Silver Sky (This was okay. Some funny moments.)
10. The Private Eyes' Requiem (This was okay.)
11. The Last Wizard of the Century (This movie didn't make much of an impression on me.)
12. The Eleventh Striker (Kind of bored me.)
13. Captured in Her Eyes (Bored me a lot. I don't get why people liked this one so much... then again, it could be because I'm not a ShinRan fan. I don't like most of the canon couples, honestly... only interesting one is Satou/Takagi. Hm.)
14. Full Score of Fear (Bored me to tears. I actually almost fell asleep watching it.. Dx)
I haven't seen movies 9 and 11, and I've only seen the first twenty five minutes of 7. Ehh... it's been pretty boring so far, honestly. And the other two movies don't seem very popular/liked... doesn't mean I won't watch them anyway!