Hm... Let's see... Well, since it's just ~5, I shall list a few among my favourites.
In no particular order...
Empowered:
1) Rossini - Act I Finale of 'Il barbiere di Siviglia' (The Barber of Seville) [Mi par d'esser con la testa]
2) Mozart - Act II Finale of 'Le nozze di Figaro' (The Marriage of Figaro) [Voi, signor, che giusto siete]
3) Rossini - Act I, Aria of Don Magnifico with Chorus, 'La Cenerentola' (Cinderella) [Conciossiacosacché]
4) Bellini - Act I Finale of 'Norma' [Perfido!... Or basti!...]
5) Mozart - Act II Sextet, 'Don Giovanni' [Mille torbidi pensieri]
(Even though Mozart's my favourite composer, I have to agree that Rossini's music is generally very empowering... It's always exciting trying to conduct along with Rossini's music... )
Sad:
1) Mozart - Act II, The Countess' Aria, 'Le nozze di Figaro' (The Marriage of Figaro) [Porgi, amor, qualche ristoro]
2) Mozart - Act II, Pamina's Aria, 'Die Zauberflöte' (The Magic Flute) [Ach, ich fühl's, es ist verschwunden]
3) Mozart - Second Movement of Piano Concerto No. 23 in A major, K. 488
4) Mozart - Act I, (First half of) The Queen of the Night's Aria, 'Die Zauberflöte' (The Magic Flute) [Zum Leiden bin ich auserkoren]
5) Mozart - Act IV, Barbarina's Aria, Le nozze di Figaro' (The Marriage of Figaro) [L'ho perduta, me meschina]
Make you want to dance:
1) Johann Strauss Jr. - Frühlingsstimmenwaltzer [Voices of Spring]
2) Johann Strauss Jr. - Die Fledermaus [The Bat]
3) Johann Strauss Jr. - An der schönen blauen Donau [by the Beautiful Blue Danube]
4) Mozart - Act I, Tamino's Aria, 'Die Zauberflöte' (The Magic Flute) [Wie stark ist nicht dein Zauberton]
5) J. S. Bach - Badinerie from Orchestral Suite No. 2 in B minor, BWV 1067
(And yeah, Johann Strauss Jr. is indeed the king of composing dance pieces. )
Make you feel happy:
1) Salieri - Act II, Europa's Aria, 'Europa riconosciuta' (Europa Recognised) [Ah! lo sento]
2) Mozart - Act I, (Second half of) The Queen of the Night's Aria, 'Die Zauberflöte' (The Magic Flute) [Du, du, du wirst sie zu befreien gehen]
3) Mozart - Third Movement from Motet 'Exsultate Jubilate', K. 165 [Alleluja]
4) Mozart - Act I, Figaro's and Susanna's Duet, 'Le nozze di Figaro' (The Marriage of Figaro) [Cinque, dieci]
5) Salieri - Act IV, Aspasia's Aria, 'Axur, re d'Ormus' (Axur, King of Ormus) [son queste le speranze]
Generally, be it inclusive or exclusive of the aforementioned songs/pieces, the pieces that would constitute these four categories would tend to come from Mozart, Rossini, Salieri, Johann Strauss Jr., Felix Mendelssohn, Joseph Haydn, Bellini and quite a few other favourite composers of mine. (Too many to list down though. )
tl;dr... Musical classicism ftw!