Joe Quigley's brace was the highlight for hot favourites Chesterfield as they comfortably beat Alfreton Town.
Will Grigg, Armando Dobra and Laurence Maguire also found the scoresheet in a 5-1 rout for the Spireites.
Yeovil got two in either half against local side Buckland Athletic while fellow South outfit Welling lost at Cray Wanderers.
York City held Championship side Sheffield Wednesday courtesy of Fin Barnes.
A penalty on the stroke of half-time got Barnet narrowly past Hemel Hempstead in a game played in honour of Spencer McCall.
Havant & Waterlooville hit four second-half goals to blow away Moneyfields 5-1 but King's Lynn Town found themselves on the end of a 6-1 hiding from Norwich City.
National League pair Eastleigh and Altrincham slipped to defeats against Bristol Rovers and Lancaster respectively while Oldham were held at Hyde United.
Adam Rooney opened his account for Hereford as the Bulls won 2-0 against West Bromwich Albion's U21 side.
Rushall Olympic proved why they were promoted - they smashed Southern League Central side Stourbridge for six - a brace from Sam Whittall helped them on their way.
Scunthorpe got their pre-season underway but were held at Brigg Town.
Paul Blackett's double wasn't enough for South Shields against Sunderland who notched a late winner - Gateshead also narrowly lost to the Black Cats.
Elsewhere, there were defeats for Maidenhead at Ipswich, Dartford against Charlton and Southport at home to Blackpool.
Eastbourne Borough will be one to watch this season and they backed that up beating National division side Aldershot thanks to a goal from an unnamed trialist.
Tahvon Campbell scored on his first outing for Wealdstone as Stuart Maynard's side ran out 3-2 winners at Bracknell Town.
Bagsman Dan Creaney scored as Tamworth breezed three past St Ives Town as fellow North side Chester saw off Hanley Town.
Woking were held at Stratford - Oxford City had the same fate at Nuneaton Borough too.
Dagenham & Redbridge eased past South newboys Aveley courtesy of goals from Ryan Hill, Josh Hare and a trialist.
Adam Murray's new side AFC Fylde hosted his old side Barnsley - the Coasters going down by two goals.
Goals from Ryan Seager and George Francomb weren't enough for Dorking who were held against Walton & Hersham.
Tim Flowers' Gloucester needed just a Joe Parker goal to win against Malvern - but his former side Solihull Moors narrowly lost to Birmingham City.