Here is where you mention the 'most' liked song by artists.
Some of mine are;

Converge - The Saddest Day
The Residents - Shoe Salesman
Opeth - The Moor
The Decemberists - The Legionnarie's Lament

Same here. And here's a few:

Jamie Cullum - All At Sea
Metric - Siamese Cities
Portishead - Glory Box
Travis - Love Will Come Through
Massive Attack - Angel