Perhaps the greatest challenge in comparing Jordan, Kobe, and LeBron rests in controlling for their supporting casts. LeBron and Jordan never played with a player of Shaq's caliber (in his prime), like Kobe. But, one way to compare the three is to look at the number of All-Stars that played with them.
Since excluding this season LeBron has played in 7 full seasons, I compared the first 7 seasons for each player. In the first 7 seasons, Jordan won 1 title, Kobe 3, and LeBron 0. Jordan was selected an all-star each of his first 7 seasons (for his second he was on the player IR), LeBron was selected for 6 of his first 7 (all except his rookie year), and Kobe was selected for 5 (like James he was selected to all but his rookie year; during his third season the lockout eliminated the All-Star game.)
With respect to All-Star teammates, Kobe also played with the most. He played alongside an All-Star 8 times (Eddie Jones, Nick Van Exel, and Shaq, who was selected for all non-lockout seasons). LeBron followed playing with an All-Star twice in his first 7 years (Moe Williams and Zydrunas Ilgauskas). Jordan, however, only played with an All-Star once (Scottie Pippen). In fact in 1990-91 when Jordan won his first title he was the only All-Star on the Bulls.
Of course, this information fails to definitively show who had superior teammates, but in the first 7 seasons--according to coaches and fans, at least--Kobe played on better teams.