You can use their sneaky 7-digit code things to get a full list of films by genre in a browser/on a phone so you can then search for something you fancy by name on your bigger screen...
1. Feel-good Christmas children & family films: https://www.netflix.com/browse/genre/1475066
2. Christmas children & family films from the 1990s – https://www.netflix.com/browse/genre/1476024
3. Romantic Christmas films - https://www.netflix.com/browse/genre/1394527
4. Christmas children & family films https://www.netflix.com/browse/genre/1474017
5. Christmas children & family films for ages 5 to 7: https://www.netflix.com/browse/genre/1477201
6. Christmas children & family films for ages 8 to 10: https://www.netflix.com/browse/genre/1477204
7. Christmas children & family films for ages 11 to 12: https://www.netflix.com/browse/genre/1477206
8. Goofy Christmas children & family films: https://www.netflix.com/browse/genre/1475071
9. British Christmas children & family films: https://www.netflix.com/browse/genre/1527064
10. Canadian Christmas children & family films: https://www.netflix.com/browse/genre/1721544
11. European Christmas children & family films: https://www.netflix.com/browse/genre/1527063
1. Feel-good Christmas children & family films: https://www.netflix.com/browse/genre/1475066
2. Christmas children & family films from the 1990s – https://www.netflix.com/browse/genre/1476024
3. Romantic Christmas films - https://www.netflix.com/browse/genre/1394527
4. Christmas children & family films https://www.netflix.com/browse/genre/1474017
5. Christmas children & family films for ages 5 to 7: https://www.netflix.com/browse/genre/1477201
6. Christmas children & family films for ages 8 to 10: https://www.netflix.com/browse/genre/1477204
7. Christmas children & family films for ages 11 to 12: https://www.netflix.com/browse/genre/1477206
8. Goofy Christmas children & family films: https://www.netflix.com/browse/genre/1475071
9. British Christmas children & family films: https://www.netflix.com/browse/genre/1527064
10. Canadian Christmas children & family films: https://www.netflix.com/browse/genre/1721544
11. European Christmas children & family films: https://www.netflix.com/browse/genre/1527063