The first anthem (by M.I.Glinka)

From 1990 (the fall of the communist regime in Russia), the wordless Russian anthem (with music written by Mikhail Glinka) served as the official Russian anthem. There were many complaints about it; mainly having no words and being very difficult to play.

The second anthem (by S.Mikhalov / A. V. Aleksandrov)

Adopted since 2000. The new lyrics were written by Sergei Mikhalkov, the same one responsible for the Soviet National Anthem, and the music remained the same as in the Soviet one as well, despite the negative connotations (which caused a strong opposition to the choice of this anthem).

Here is my approximate translation, trying to preserve rhymes and rythm. It is by no means an exact translation:

Oh Russia - our sacred and blessed supernation
Oh Russia - our only most precious dear land
Your mightiest glory and greatest intention -
Your virtues remaining forever to stand

(refrain)
Freeborn and sovereign - Be praised, fatherland
Fraternal great nations in union strong
Wisdom of our men, predcessors us command
Glorious country! To you we belong!

From southern great seas to the polar north border,
Our woods and our fields so majestically spread
Unique of all countries, in God's given order
The native our country that raised us and bred

(refrain)

The years coming forward, for us will uncover
the broad space for living and dreaming each day
Allegiance to homeland - provides us the power
It was so, it is so and so it shall stay.

(refrain)

And here's the anthem transliterated:

Rossia - svyashchennaya nasha derzhava,
Rossia - lyubimaya nasha strana.
Moguchaya volya, velikaya slava -
Tvoyo dostoyanye na vse vremena!

(refrain)
Slavsya, Otechestvo nashe svobodnoye
Bratskikh narodov soyuz vekovoi,
Predkami dannaya mudrost narodnaya!
Slavsya, strana! My gordimsya toboi!

Ot yuzhnykh morei do polyarnovo kraya
Raskinulis nashi lesa i polya.
Odna ty na svete! Odna ty takaya -
Khranimaya Bogom rodnaya zemlya!

(refrain)

Shiroky prostor dlya mechty i dlya zhizni
Gryadushchiye nam otkryvayut goda.
Nam silu dayot nasha vernost Otchizne.
Tak bylo, tak yest i tak budet vsegda!

(refrain)

And finally, Cyrillic, in glorious Unicode (if your browser sucks, switch it to UTF-8 encoding first):

Россия - священная наша держава!
Россия - любимая наша страна!
Могучая воля, великая слава -
Твое достоянье на все времена.

(Припев)
Славься, Отечество наше свободное
Братских народов союз вековой,
Предками данная мудрость народная,
Славься страна! Мы гордимся тобой!

От южных морей до полярного края
Раскинулись наши леса и поля.
Одна ты на свете! Одна ты такая!
Хранимая Богом родная земля.

(Припев)

Широкий простор для мечты и для жизни,
Грядущее нам открывают года.
Нам силу дает наша верность Отчизне.
Так было, так есть и так будет всегда!

(Припев)

Славься, Отечество наше свободное
Братских народов союз вековой,
Предками данная мудрость народная,
Славься страна! Мы гордимся тобой!

(Припев)