The Historian Arthur Ferrill discussed how the Macedonian leader Alexander the Great could have beaten the British at Waterloo due to the ineffectiveness of muskets in such close quarters. Are there examples of people using weapons like the bow and arrow from 1750's ish?
Arthur Ferrill is very much incorrect. The musket is only an "ineffective" weapon when compared to more modern firearms. As early as 1642, Donald Lupton argued that musketry was so effective that the pike was obsolete. And fifty years before that, military writers like Humphrey Barwick and Clayton Gyles said battles were usually decided by shot alone before the two sides could come to hand blows. Alexander's army wouldn't have stood a chance.
Bows were actually used during the Napeleonic Wars by some Russian auxiliaries. Baron Marbot, a cavalry commander, describes his experience against them. The encounter left Marbot with a very low opinion of the bow's effectiveness.
Regarding the use of bows and arrows in modern conflicts: Bows and crossbows were used by both sides during the Vietnam War. Vietnamese arrows even managed to ground a helicopter when they stuck in the engine. Crossbows are still used by some special forces around the world today. The Karen use very large crossbows in their war against the Burmese government. Source: The Crossbow and the Bow in Modern Warfare by Arthur Credland