But since you're taking a leaf out of FilipFromSwede's playbook by pretending like you can't possibly do your job of sourcing your claims because, gasp, someone might have been rude to you, I'll do your job for you.
Since 2009, these are the "nationally diverse" and "traditional" entries the juries have voted for significantly less than the televoters:
2009:
Armenia - Inga and Anush - "Jan Jan" [J: 71 (15th) | T: 111 (9th)]
Bosnia & Herzegovina - Regina - "Bistra Voda" [J: 90 (12th) | T: 124 (7th)]
Both of these can be partially excused slightly by the fact that the juries distributed their points much more evenly. For example, the gap between 9th and 15th is 36 for the juries, but 52 for the televotesr. The gap between 7th and 12th is 24 for the juries and 54 for the televoters. So while it might look bad that the juries ranked Bosnia & Herzegovina 5 ranks lower than the televoters, keep in mind that those were 5 ranks with very few points inbetween them. In fact, the difference between the juries' 10th and 12th was only 3 points.
2010:
(SF #1 - Differences stayed the same for Serbia in the final)
Finland - Kuunkuiskaajat - "Työlki ellää" [J: 37 (15th) | T: 69 (8th)] - No idea what happened here. Maybe it's just a difference in tastes.
Serbia - Milan Stanković - "Ovo je Balkan" [J: 65 (8th) | T: 92 (5th)] - Diaspora voting likely is the culprit here. Still, the gap isn't that huge in the grand scheme of things.
2011:
None. Really. None.
Since 2009, these are the "nationally diverse" and "traditional" entries the juries have voted for significantly more than the televoters:
2009:
Croatia - Igor Cukrov feat. Andrea - "Lijepa Tena" (was the jury save of the 2nd semi-final, J: 10th | T: 13th / Final (no split results for the semi-finals were published): J: 58 | T: 55 - Though it should be noted that because of a difference in entries ranked below Croatia's points in both votes, the televoters ranked Croatia 16th, while the juries ranked then 18th. Still, Croatia wouldn't even have been in the final without the juries)
Israel - Noa & Mira Award - "There Must Be Another Way" [J: 107 (9th) | T: 15 (25th out of 25)] - Love it or hate it, it's quite "traditional" and "nationally diverse".
Moldova - Nelly Ciobanu - "Hora din Moldova" [J: 93 (10th) | T: 66 (13th)]
Estonia - Urban Sympony - "Rändajad" [J. 124 (5th) | ]
Honorable mentions:
France - Patricia Kaas - "Et s'il fallait le faire" [J: 164 (4th) | T: 54 (17th)] - Very traditionally French. Might be too "Western" to count in your book, though, and I won't push the issue.
Portugal - Flor-de-Lis - "Todas as ruas do amor" [J: 64 (18th) | T: 45 (18th)] - While they both ranked this entry 18th, the gap between the jury's 18th and 20th place is huge (33 points!) while the same gap or the televoters' 18th and 21st is a mere two points.
2010:
(SF #2 - Differences stayed the same for the final)
Israel - Harel Skaat - "Milim" [J: 88 (4th) | T: 46 (12th)]
2011:
None.
2012:
(SF #1)
Moldova - Pasha Parfeny - "Lăutar" [J: 107 (2nd) | T: 85 (7th)]
(SF #2)
Albania - Rona Nishliu - "Suus" [J: 131 (1st - Margin to 3rd was 28) | T: 131 (3rd - Margin to 1st was 58)]
(Final)
Albania - Rona Nishliu - "Suus" [J: 157 (3rd) | T: 106 (8th)]
Estonia - Ott Lepland - "Kuula" [J: 152 (6th ) | T: 78 (12th)]
Don't count:
2009:
Hadise gave a very bad live performance, which why the juries ranked her so much lower than the televoters. You could barely hear her during the chorus. She looked like the world's most convincing drag queen because the only voice that could be heard singing was that of the male backing singers'. Albania's Kejsi Tola and Romania's Elena were likewise likely also punished for the same reason and mostly because their stage shows were very disjointed and made little sense. You're free to argue that any of these actually count though and I will engage you in that discussion if you so choose.
2010:
"OPA!" winning its semi-final is due to Greek diaspora votes. Feel free to debate me on this, but I believe it to be true and thus this shouldn't count.
2011:
Norway - Stella Mwangi - "Haba Haba" [J: 29 (17th) | T: 56 (9th)] - Her terrible vocal performance killed her chances with the juries and it was fair. Again, feel free to disagree.
Greece - Loukas Giorkas feat. Stereo Mike - "Watch My Dance" - See 2010.
2012:
Russia - Buranovskiye Babushki - "Party For Everybody" - Let's not even touch upon this entry.
Bottom Line:
For every "traditional" or "nationally diverse" entry the juries did not favour as much as the televoters, they favoured 1.5 as many "traditional" and "nationally diverse" entries as the televoters. Sometimes, their tastes just clash. Let's also not rule out running order draws, diaspora voting and block voting. In the grand scheme of things, the juries are not a detriment to "traditional" and "nationally diverse" entries at all.