The methodology of the rankings is controversial but I think the list is interesting.
Rank School City (District)
19. The Early College at Guilford Greensboro (Guilford County)
33. Raleigh Charter Raleigh (Wake County)
43. Myers Park Charlotte (Charlotte - Mecklenburg County)
81. Weaver Academy Grensboro (Guilford County)
82. Enloe Raleigh (Wake County)
119. Grimsley Greensboro (Guilford County)
122. Northwest Guilford Greensboro (Guilford County)
182. East Chapel Hill Chapel Hill (Chapel Hill City Schools)
186. Providence Charlotte (Charlotte - Mecklenburg County)
221. Western Guilford Greensboro (Guilford County)
224. Reynolds Winston-Salem (Winston-Salem - Forsyth County)
238. Mount Tabor Winston-Salem (Winston-Salem - Forsyth County)
264. Ardrey Kell Charlotte (Charlotte - Mecklenburg County)
285. Chapel Hill Chapel Hill Chapel Hill City Schools)
328. North Mecklenburg (Charlotte - Mecklenburg County)
341. East Mecklenburg Charlotte (Charlotte - Mecklenburg County)
342. High Point Central High Point (Guilford County)
356. Jordan Durham (Durham County)
400. Needham Broughton Raleigh (Wake County)
412. Durham School of the Arts Durham (Durham County)
431. Butler Matthews (Charlotte - Mecklenburg County)
463. Pinecrest Southern Pines Moore County
505. Harding University High School of Mathematics, Science and Technology Charlotte (Charlotte - Mecklenburg County)
531. Southwest Guilford High Point (Guilford County)
534. Hopewell Huntersville (Charlotte - Mecklenburg County)
587. Ragsdale Jamestown (Guilford County)
589. Math, Engineering and Science at Olympic (Charlotte - Mecklenburg County)
606. Walter Hines Page Greensboro (Guilford County)
644. Renaissance at Olympic Charlotte (Charlotte - Mecklenburg County)
649. Green Hope Morrisville (Wake County)
688. Rose Greenville N.C. (Pitt County)
737. Riverside Durham (Durham County)
773. Asheville Asheville (Buncombe County)
791. North Davidson Lexington (Davidson County)
850. Southeast Guilford Greensboro (Guilford County)
888. Eastern Guilford Gibsonville (Guilford County)
919. Andrews High Point N.C. (Guilford County)
973. New Hanover Wilmington (New Hanover County)
1006. West Forsyth Clemmons (Winston-Salem - Forsyth County)
1037. Winston Salem Prep Winston Salem (Winston-Salem - Forsyth County)
1046. School of International Studies and Global Economics at Olympic Charlotte (Charlotte - Mecklenburg County)
1115. Wakefield Raleigh (Wake County)
1134. T C Roberson Asheville (Buncombe County)
1155. Northern Durham (Durham County)
1166. Southern Guilford Greensboro (Guilford County)
1218. First Flight Kill Devil Hills (Dare County))
1300. Salisbury Salisbury (Rowan - Salisbury County)
1322. Manteo Manteo (Dare County)
1341. Northeast Guilford McLeansville (Guilford County)
1387. Cape Hatteras Secondary Buxton (Dare County)
1416. Southwestern Randolph Asheboro (Randolph County)
1443. Weddington Matthews (Union County)
1457. Northwood Pittsboro (Chatham County)
Complete list