In 1959 Tom Lehrer wrote a song "The Elements" whose lyrics are all the chemical elements known at that time (up to element 102, Nobelium). An animated video accompanying the song can be seen on YouTube here. A performance of the song by Lehrer in 1967 is here and by Daniel Radcliffe in 2010 is here. They have been put side by side here.

Since the song was written more elements have been discovered and named, but Lehrer didn't update the lyrics. For example, in the 1967 performance he pointed out as an aside that there was a new element Lawrencium (element 103).

At the time I am first writing this (August 2012), 118 elements have been discovered and 114 of them have been named (excluding numbers 113, 115, 117, and 118). A Russian updated version of the elements song using all currently named elements is below, and a .pdf copy can be read here. The number of each element is included the text, not in order to be part of the song but rather to help verify that in fact each element appears exactly once.

While I can't include a tune to convey what the intended rhythm is (it is not the tune used by Lehrer), a few hyphens are inserted in the text to indicate no pauses there. If you are interested in making a recording of this, let me know.

Элементы

Есть
калий(19), бериллий(4), осмий(76), водород(1),
натрий(11), нептуний(93), кремний(14), углерод(6),
кадмий(48), ванадий(23), иттрий(39), кислoрод(8),
кальций(20), прометий(61), скандий(21), хлор(17)-азот(7).
И церий(58), палладий(46), магний(12), цинк(30)-ксенон(54),
рений(75), рубидий(37), гелий(2), медь(29)-радон(86),
галлий(31), лютеций(71), франций(87), фтор(9)-неон(10),
тербий(65), иттербий(70), эрбий(68), иод(53)-аргон(18).

Есть
неодим(60), празеодим(59), ниобий(41), плутоний(94),
индий(49), иридий(77), и родий(45), европий(63),
цезий(55), актиний(89), железо(26)-протактиний(91),
олово(50), золото(79), и берклий(97)-калифорний(98).

Есть
рутений(44), самарий(62), уран(92), менделевий(101),
цирконий(40), америций(95), полоний(84), коперниций(112),
стронций(38), алюминий(13), гольмий(67)-гадолиний(64),
и литий(3)-барий(56)-гафний(72)-таллий(81)-торий(90)-ливерморий (116).

Есть
хассий(108), эйнштейний(99), дармштадтий(110), германий(32),
дубний(105), флёровий(114), тулий(69), мейтнерий(109),
нобелий(102), рентгений(111), лоуренсий(103), сиборгий(106),
тоже радий(88)--кюрий(96)-фермий(100)-борий(107)-резерфордий(104).

Есть
тантал(73), лантан(57), кобальт(27), титан(22),
теллур(52), селен(34), бор(5)-молибден(42)
мышьяк(33), висмут(83), астат(85) И ртуть(80),
вольфрам(74) и хром(24), криптон(36) и бром(35).
Фосфор(15), никель(28), марганец(25),
диспрозий(66), сера(16), и свинец(82).
Сурьма(51), технеций(43), что ещё?
платина(78) и серебро(47).
На данный момент, это всё!

UPDATE: By 2016, the four unnamed elements 113, 115, 117, and 118 received names: 113 is Nihonium (Нихоний), 115 is Moscovium (Московий), 117 is Tennessine (Теннессин), and 118 is Oganesson (Оганесон).

A Russian version of Lehrer's original song (up to element 102), due to Alexander Nevzorov, is here.