Do you agree that Romeo, from Shakespeare's Romeo and Juliet, is a romantic, self-centered boy who doesn't consider the consequences of his decisions?

Arguing whether or not Romeo is "a romantic, self-centered boy who doesn't consider the consequences of his decisions" is a little tricky since being a romantic does not necessarily preclude him being self-centered or inconsiderate of consequences. Is Romeo a romantic? Yes. Is Romeo self-centered and inconsiderate of consequences? No.

Romeo as Romantic: 

Before we even meet Romeo, we're told of his sad countenance as observed by his father Lord Montague: “Many a morning hath he there been seen, / With tears augmenting the fresh morning dew. / Adding to clouds more clouds with his deep sighs” (1.1.134-136). Apparently, Romeo has been seen crying in the garden, and has even resorted to shutting himself up in the dark in his room, as Montague continues telling Benvolio.

We later learn, when Romeo first enters the stage, that he is in love (1.1.173) but cannot be with his love because she has sworn herself to a life of chastity (1.1.225), which is the cause of his ill demeanor. These first few moments with Romeo are crucial in understanding that he is ruled by his heart, laying the foundational characteristics that the rest of the play will build on.

If we look at but a portion of Romeo’s most famous soliloquy, we’re treated to an even clearer example of Romeo’s romanticism:

But soft, what light through yonder window breaks? / It is the East, and Juliet is the sun. / Arise, fair sun, and kill the envious moon, / Who is already sick and pale with grief / That thou, her maid, art far more fair than she. (2.2.2-6)

Here Romeo is comparing Juliet to the rising sun as she steps onto her balcony, saying that her beauty is enough to fend off the night. Romeo goes on to say that the brilliance of her cheeks would put the stars to shame like sunlight would a lamp (2.2.19-21). To say that Romeo is a romantic is an understatement when looking to the rest of these lines.

Romeo not as Self-Centered:

One example of Romeo as a gentleman comes from Lord Capulet himself when he sees Tybalt preparing to accost Romeo at the Capulet party: “Content thee, gentle coz, let him alone. / He bears him like a portly gentleman, / and, to say truth, Verona brags of him / To be a virtuous and well-governed youth” (1.5.74-78). In the ensuing dialogue with Tybalt, Capulet makes it quite clear that he will not tolerate Romeo being hurt at the party despite Tybalt’s anger and frustration at having his family enemy present. If this doesn’t speak to Romeo’s reputation and character, what does?

Perhaps a clearer example of Romeo’s self-sacrifice, rather than self-centeredness, is when he refuses to fight Tybalt in Act 3, Scene 1, knowing that it would cause grief to their families and those involved. Even as Tybalt insults him, Romeo bares him kindness and love. In fact, Romeo pleads with Mercutio and Tybalt to stop fighting after Mercutio attempts to defend Romeo’s honor:

Draw, Benvolio, beat down their weapons.

Romeo draws.

Gentlemen, for shame forbear this outrage!

Tybalt! Mercutio! The Prince expressly hath

Forbid this bandying in Verona streets.

Hold, Tybalt! Good Mercutio!

Romeo attempts to beat down their rapiers.

Tybalt stabs Mercutio. (3.1.87-91)

It is clear here that Romeo intends to stop the fighting, showing full well that the repercussions would be disastrous. And, later on, when Romeo avenges Mercutio’s death by killing Tybalt, he tells Tybalt to take back his slandering of Romeo, making it clear that Tybalt’s insults were indeed hurtful and not easily dismissed; Romeo only dismissed them earlier because of his love for Juliet and his desire to keep the peace between the feuding families.

Conclusion:

To say that Romeo is a romantic is a fair assessment. But, to say that he is self-centered or inconsiderate of consequences is to simplify his character and actions. If anything, Romeo shows thoughtfulness and appreciation for his friends, enemies, and situations.