Melodic Intervals (familiar tunes) Theory ThingsWilliam Wieland
Many refer to familiar tunes to remember melodic intervals. I believe it is better to have a thorough grounding in solfege.
Note the preponderance of do, mi, and sol in the following examples.

mi2upSilver Bells
O Danny Boy
Jaws
mi - fa - sol
ti - do - re - mi
downJoy to the World
Für Elise
do - ti - la - sol - fa - mi - re - do
sol - fi - sol - fi - sol

M2upFrere Jacques
Silent Night
Happy Birthday
do - re - mi - do, do - re - mi - do
sol - la - sol - mi, sol - la - sol - mi
sol - sol - la - sol - do - ti, sol - sol - la
downThree Blind Mice
Deck the Halls
mi - re - do, mi - re - do
sol - fa - mi - re - do - re - mi - do

mi3upGreensleeves
To dream, the impossible...
Brahms’ Lullaby
do - me - fa - sol
mi - sol, mi - fa - sol - fa - mi - sol
mi - mi - sol, mi - mi - sol
downThis Old Man
Rain, Rain, Go Away
sol - mi - sol
sol - mi - sol - sol - mi

M3upKum Ba Yah
Marines Hymn
O When the Saints
do - mi - sol - sol - sol, la - la - sol
do - mi - sol - so - s - s - s - do - sol
do - mi - fa - sol, do - mi - fa - sol
downBeethoven's 5th
Swing Low...
sol - sol - sol - me, fa - fa - fa - re
mi - do, mi - do - do - la - sol

P4upAuld Lang Syne
Bridal March
Taps
Amazing Grace
sol - do - do - do - mi - re - do - re
sol - do - do - do, sol - re - ti - do
sol - sol - do, sol - do - mi
sol - do - mi - do - mi
downOld MacDonald
Baseball Chant
I've Been Workin'
 (on the RR)
do - do - do - sol - la - la - sol
do - sol - la - ti - do...
do - sol - do - sol - do - re - mi - do

TritoneupMaria
The Simpsons
do - fi - sol
do - fi - sol
down
?
 
P5upTwinkle, Twinkle
Do You Hear...?
Star Wars
do - do - sol - sol - la - la - sol
do - do - sol - sol - do - sol
do - sol, fa - mi - re
downFlinstonessol - do, do - la - sol - do

mi6upEntertainer(re - ri) - mi - do, mi - do, mi - do

 
downLove Storyme - sol - sol - me - me

M6upNBC
My Bonnie...
It Came...
sol - mi - do
sol - mi - re - do - re - do - la - sol - mi
sol - mi - ti - re - do - la - sol - la - sol
downNobody knows...
Sweet Caroline
mi - sol - la - do - re - mi - mi - mi - mi
mi - sol - la - la (fa - mi - la)

mi7upSomewhere
Have you driven a Ford...
sol - fa - mi - do - la
sol-so-s-s-s-fa, mi - do
down?

M7upBa-li Hai (South Pacific)
Fantasy Island Theme
do - (do) - ti
down?