I'm Newfoundlander as well, as I've noticed a lot of variety in accents throughout the province. My family is almost entirely English (Devon area), and have very ingrained west country-influenced Newfoundland accents.
If you have a look at this site, you can listen to the various dialects of England by clicking on the person icons and listening to the audio samples. A lot of dialects of western and southern England are very similar to modern Newfoundland English, though Newfoundland has a lot of Irish influence.
For example, my mom's parents sound very much like these folks:
http://www.bl.uk/learning/langlit/sounds/text-only/england/portesham/
Some things to note:
The guy in the clip says "B'yler instead of Boiler". This is probably the origin of the common use of the word "B'y" instead of "Boy". This pronunciation is very common.
Corner -> Carner (the "or" sounds is "ar")
Lots of "Y'See"s
Verbs are often pluralized. Ex: "If you goes out, grab me something at the store."
H's are very often dropped, and H's are put onto words that don't normally have them. For example: "Ave you seen my H'Earrings?".
D's are often dropped as well: "Let's go for a drive aroun' the harbor"
People often say "Gurt" instead of "Great".
This song illustrates Newfoundland English that is heavily influenced by West England. We just farm a lot less here...
• Video Link
On the other hand, my girlfriend's family from down Burin way speak very different again, such as these folk:
http://www.bl.uk/learning/langlit/sounds/text-only/england/melksham/
I'm not at all used to this accent, and some of the things I find peculiar are:
"Tot'ly" as abbreviated from "Totally"
"Town" is changed to "Touun" with a heavy extended "U" sound (almost like "toon").
"International" is changed to "In'er-national". "Isn't it" to "Innit". Lots of dropped consonants.
"Here" is occasionally pronounced as "Yur". This one is less consistent between people.
You also see a reverse "I" to "Oye". As in "Oye'm not used to hearing this dialect".
Tuesday -> Chewsday. I hear this in other words too, but I cant think of any right now.
A very iconic bit is where he says "we didn't get lifts to school like dey do d'day". Again, I can't come up with a rule of this part of the speech, but I immediately think of the area when I hear it.
Uniform -> "You-Nee-Form"
Again, I'm not a scholar on this stuff, but these accents are found in older communities in Newfoundland, very similar to the old English accents.