Discussing the words doe and олениха with AlexB reminded me of this YouTube clip, in which a large group of Belgians in a train station spontaneously start dancing to the song "Do-Re-Mi" from The Sound of Music. (Не по-настоящему самопроизвольно, конечно -- но, если читаешь описание на Ютюбе, оказается, что только две репетиции были нужны)

The reason I give it my recommendation is that it's sung by Julie Andrews -- who not only has a beautiful singing voice, but is also famous for her "impeccable diction" -- in other words, her pronunciation is extraordinarily clean, which makes her a good model to imitate.

If you want a more masculine model, here's Robert Preston performing "The Sadder But Wiser Girl," from the 1962 movie The Music Man.

Here are the lyrics:

No wide-eyed, eager,
Wholesome, innocent Sunday-School teacher for me!
That kind of girl spins webs, no spider ever...
Now, listen, boy --
A girl who trades on all that purity
Merely wants to trade my independence for her security.
The only affirmative she will file
Refers to marching down the aisle.
No golden, glorious, gleaming pristine goddess--
No sir!
For no Diana do I play fawn.
I can tell you that right now.
I snarl, I hiss -- How can ignorance be compared to bliss?
I spark, I fizz, for the lady who knows what time it is.
I cheer, I rave, for the virtue I'm too late to save!
The sadder-but-wiser girl for me!

No bright-eyed, blushing, breathless baby-doll baby
No sir!
That kind of child ties knots no sailor ever knew!
I prefer to take a chance
On a more adult romance.
No dew-young miss
Who keeps resisting
All the time she keeps insisting!
No wide-eyed, wholesome, innocent female.
No sir!
Why, she's the fisherman, I'm the fish, you see? PLOP!
I flinch, I shy, when the lass with the delicate air goes by --
I smile, I grin, when the gal with a touch of sin walks in --
I hope, and I pray, for Hester to win just one more "A"!
The sadder-but-wiser girl's the girl for me,
The sadder-but-wiser girl for me!
Again, Preston's voice is recommendable as a listening model because his pronunciation is so precise.

P.S. Any Russian who can correctly explain the double meaning of that "A," and how it relates to "Hester," is a молодец из всех молодцев!