for New worlds, I could see:
Guapotes -- all Parachromis and Petenia species
South American Eartheaters -- all Satanoperca, Geophagus, Gymnogeophagus, Biotodoma (?), Acarichthys (?), Retroculus (?)
South American Dwarves -- all Microgeophagus, Appistogramma, Dicrossus (?)
Central American Eartheaters -- all Thorichthys and some Amphilophus (robertsoni, rostratum, crassilabrus, rhytisma, nourisatti, altifrons, longimanus etc)
Acaras -- most Aequidens, Bujurquina, Laetacara, Cleithracara, Guinacara, Acaronia (?), Krobia (?), Nannacara (?) and Tahuantinsoyoa
Pikes -- all Crenicichla and Teleocichla
then you have:
Chanchitos -- I believe refers to all proper Cichlasoma species
Peacock Bass -- all Cichla
I guess you could classify these as groups even though they are really just general names give to all species in 1 genus. To me, a "group" would be a name given to cichlids of a similar type but that come from more than 1 genus. Other than these above, I can't think of any more "groups".
As for Mojarra, I've seen this name before which I believe refers to Amphilophus-types but I'm not 100% sure on that. According to dictionary.com
mo·jar·ra Audio pronunciation of "mojarra" ( P ) Pronunciation Key (m-här)
n. pl. mojarra or mo·jar·ras
Any of several species of small, silvery, mainly tropical American marine fishes of the family Gerridae, having extremely protrusile mouths.
ps. I do think there could be a group for all Theraps, Paratheraps, Tomacichla and Vieja species.
pps. I guess you could also consider the
exCichlasomas a group...these include but are not limited to the grammodes, istlanum, beani, bocourti, pearsei, salvini, festae, atromaculatum, trimaculatum, ufermanni and uropthalmus. these are according to Juan Miguel Artigas Azaz's site The Cichlid Room Companion. Though, imo if trimaculatum is considered
exCichlasoma then lyonsi should be also.
ppps. The genus listed in the groups with (?) behind it are ones I'm not sure are technically considered part of the group but that I feel could/should be