A Lyric poem mainly expresses personal feelings. Sometimes emotional feelings as well. This type of poem is mainly written in the present tense. Examples of it often have a specific rhyme scheme. lyric poems are also musical. Kind of like song lyrics in a way i think.
Another good example is this part of Sonnet Number 18, written by William Shakespeare:
Shall I compare thee to a summer's day?
Thou art more lovely and more temperate.
Rough winds do shake the darling buds of May,
And summer's lease hath all too short a date.
Sometime too hot the eye of heaven shines,
And often is his gold complexion dimmed,
And every fair from fair sometime declines,
By chance, or nature's changing course untrimmed.