Yes, the games included on the carts for the Evercade are licensed by Blaze from the copyright holders of the software in question. So no, you are not going to find Mario and Zelda games for it, but here are the games that are currently available for purchase:

# - Title - Cartridge
1 - 8-Eyes - Piko Interactive Collection 1
2 - Adventure (2600) - Atari Collection 1
3 - Air Sea Battle (2600) - Atari Collection 2
4 - Alien Brigade (7800) - Atari Collection 1
5 - Almost Hero - Mega Cat Studios Collection 1
6 - Aquaventure (2600) - Atari Collection 1
7 - Asteroids (2600) - Atari Collection 1
8 - Asteroids (7800) - Atari Collection 2
9 - Awesome Golf - Atari Lynx Collection 1
10 - Bad Dudes - Data East Collection
11 - Basketbrawl - Atari Lynx Collection 1
12 - Basketbrawl (7800) - Atari Collection 2
13 - Battle Cars - Namco Collection 1
14 - BattleChess - Interplay Collection 1
15 - Boogerman - Interplay Collection 1
16 - Bowling (2600) - Atari Collection 2
17 - Brave Battle Saga - Piko Interactive Collection 1
18 - Burger Time - Data East Collection
19 - Burnin’ Rubber (Bump & Jump) - Data East Collection
20 - Burning Force - Namco Collection 2
21 - Canon – Legends of the New Gods - Piko Interactive Collection 1
22 - Canyon Bomber (2600) - Atari Collection 1
23 - Centipede (2600) - Atari Collection 1
24 - Centipede (7800) - Atari Collection 2
25 - Clayfighter - Interplay Collection 1
26 - Clayfighter 2 - Interplay Collection 2
27 - Claymates - Interplay Collection 2
28 - Coffee Crisis - Mega Cat Studios Collection 1
29 - Crash ‘N’ The Boys: Street Challenge - Technos Collection 1
30 - Creepy Brawlers - Mega Cat Studios Collection 1
31 - Crystal Castles (2600) - Atari Collection 1
32 - Crystal Mines II: Buried Treasure - Atari Lynx Collection 1
33 - CyberVirus - Atari Lynx Collection 1
34 - Dark Chambers (2600) - Atari Collection 2
35 - Demons to Diamonds (2600) - Atari Collection 2
36 - Desert Falcon (2600) - Atari Collection 1
37 - Desert Falcon (7800) - Atari Collection 2
38 - Dig Dug - Namco Collection 1
39 - Dig Dug 2 - Namco Collection 2
40 - Dorke and Ymp - Piko Interactive Collection 1
41 - Double Dragon - Technos Collection 1
42 - Double Dragon II: The Revenge™ - Technos Collection 1
43 - Double Dunk (2600) - Atari Collection 1
44 - Dracula the Undead - Atari Lynx Collection 1
45 - Dragon Spirit - Namco Collection 2
46 - Dragon View - Piko Interactive Collection 1
47 - Drakkhen - Piko Interactive Collection 1
48 - Earthworm Jim - Interplay Collection 1
49 - Earthworm Jim 2 - Interplay Collection 2
50 - Fighter’s History - Data East Collection
51 - Food Fight (7800) - Atari Collection 1
52 - Galaga - Namco Collection 2
53 - Galaxian - Namco Collection 1
54 - Gordo 106 - Atari Lynx Collection 1
55 - Gravitar (2600) - Atari Collection 1
56 - Haunted House (2600) - Atari Collection 2
57 - Human Canonball (2600) - Atari Collection 2
58 - Incantation - Interplay Collection 1
59 - Iron Commando - Piko Interactive Collection 1
60 - Ishido: The Way of Stones - Atari Lynx Collection 1
61 - Jim Power – The Lost Dimension - Piko Interactive Collection 1
62 - Jimmy Connors Tennis - Atari Lynx Collection 1
63 - Joe & Mac 2: Lost in the tropics - Data East Collection
64 - Justice Duel - Mega Cat Studios Collection 1
65 - Karate Champ - Data East Collection
66 - Libble Rabble - Namco Collection 1
67 - Little Medusa - Mega Cat Studios Collection 1
68 - Log Jammers - Mega Cat Studios Collection 1
69 - Loopz - Atari Lynx Collection 1
70 - Magic Girl - Piko Interactive Collection 1
71 - Magical Drop 2 - Data East Collection
72 - Malibu Bikini Volleyball - Atari Lynx Collection 1
73 - Mappy - Namco Collection 1
74 - Mappy Kids - Namco Collection 1
75 - MegaPak - Atari Lynx Collection 1
76 - Metal Marines - Namco Collection 1
77 - Midnight Resistance - Data East Collection
78 - Millipede (2600) - Atari Collection 2
79 - Missile Command (2600) - Atari Collection 1
80 - Motor Psycho (7800) - Atari Collection 1
81 - Multidude - Mega Cat Studios Collection 1
82 - Night Driver (2600) - Atari Collection 1
83 - NightShade - Piko Interactive Collection 1
84 - Ninja Golf (7800) - Atari Collection 1
85 - Old Towers - Mega Cat Studios Collection 1
86 - Pac Man - Namco Collection 1
87 - Pac-Attack - Namco Collection 2
88 - Phelios - Namco Collection 2
89 - Planet Smashers (7800) - Atari Collection 2
90 - Power Factor - Atari Lynx Collection 1
91 - Power Piggs of the Dark Ages - Piko Interactive Collection 1
92 - Power Punch II - Piko Interactive Collection 1
93 - Prehistoric Man - Interplay Collection 2
94 - Quad Challenge - Namco Collection 1
95 - Radar Lock (2600) - Atari Collection 2
96 - Radical Rex - Piko Interactive Collection 1
97 - Realsports Tennis (2600) - Atari Collection 2
98 - Remnant - Atari Lynx Collection 1
99 - River City Ransom - Technos Collection 1
100 - Scrapyard Dog - Atari Lynx Collection 1
101 - Side Pocket - Data East Collection
102 - Solaris (2600) - Atari Collection 2
103 - Splatterhouse 2 - Namco Collection 2
104 - Splatterhouse 3 - Namco Collection 2
105 - Sprintmaster (2600) - Atari Collection 2
106 - Star Luster - Namco Collection 1
107 - Steeplechase (2600) - Atari Collection 1
108 - Street Racer (2600) - Atari Collection 2
109 - Submarine Commander (2600) - Atari Collection 2
110 - Super Asteroids/Missile Command - Atari Lynx Collection 1
111 - Super Dodge Ball™ - Technos Collection 1
112 - Super Double Dragon™ - Technos Collection 1
113 - Super Painter - Mega Cat Studios Collection 1
114 - Super Spike V’ball™ - Technos Collection 1
115 - Super Sqweek - Atari Lynx Collection 1
116 - Switchblade - Piko Interactive Collection 1
117 - Swordquest Earthworld (2600) - Atari Collection 1
118 - Tanglewood - Xeno Crisis & Tanglewood Dual Game Cartridge
119 - Tänzer - Mega Cat Studios Collection 1
120 - Tempest (2600) - Atari Collection 1
121 - The Adventures of Rad Gravity - Interplay Collection 2
122 - The Brainies - Interplay Collection 2
123 - The Humans - Piko Interactive Collection 1
124 - The Immortal - Piko Interactive Collection 1
125 - Tinhead - Piko Interactive Collection 1
126 - Titan - Interplay Collection 1
127 - Top Racer - Piko Interactive Collection 1
128 - Tower of Druaga - Namco Collection 2
129 - Two Crude Dudes - Data East Collection
130 - Video Pinball (2600) - Atari Collection 1
131 - Warp Man - Namco Collection 2
132 - Water Margin - Piko Interactive Collection 1
133 - Way of the exploding fist - Piko Interactive Collection 1
134 - Weapon Lord - Namco Collection 2
135 - Wizard (2600) - Atari Collection 2
136 - Xeno Crisis - Xeno Crisis & Tanglewood Dual Game Cartridge
137 - Xevious - Namco Collection 1
138 - Xump - Atari Lynx Collection 1
139 - Yars Return (2600) - Atari Collection 1
140 - Yars’ Revenge (2600) - Atari Collection 2

The Evercade launches during the 22nd of May 2020.