Series of genres Adventure
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Series Name Latest chapter
.hack//Alcor Completed
.hack//G.U.+ Completed
.hack//GnU Ch.001: Lunar T ...
.hack//Legend of the Twilight Completed
.hack//Link Completed
.hack//XXXX 002
+a no Tachiichi    Completed
+Anima    Completed
+C Sword and Cornett    Completed
+C: Sword and Cornett Appendix Vol.001 Ch.007: ...
007 Series Completed
07 Ghost    Completed
1 Second    Ch.013
1/2 Prince    Game 080
10 Years after saying “Leave this to me and go”, I Became a Legend.    Chapter 010.005
1001 Vol.006 Ch.024
100-man no Inochi no Ue ni Ore wa Tatte Iru    Vol.008 Chapter ...
100-nin no Eiyuu o Sodateta Saikyou Yogensha wa    Chapter 013.001
12 Beast    Ch.029
2001 + 5 Completed
21st Century Journey to the West Ch.001 - Appearance ...
22xx Completed
23-Wards Tokyo Majo Ch.001
24-ku no Hanako-san Ch.003 - Thank ...
29-sai Dokushin wa Isekai de Jiyuu ni Ikita……katta.       Vol. 002 Ch.008 ...
29-sai Hitorimi Chuuken Boukensha no Nichijou Vol. 004 Ch.018 ...
3x3 Eyes Completed
4 Cut Hero    Ch.156
5Toubun no Hanayome - Magical Girl Raiha with The Quintuplet of Witch Ch.000 - Character ...
666 Satan    Completed
6-gou Keibi    Vol. 001 Ch.003 ...
7 seeds    Completed
7 Seeds Gaiden Completed
9 Banme no Musashi Completed
A Betrayed S-rank Adventurer, I Make A Slave-only Harem Guild With My Beloved Slaves    Ch.003.001
A Book of Dreams Vol.004 Ch.025 Read ...
A Boy Who Has Been Reincarnated Twice Spends Peacefully as an S-Rank Adventurer    Chapter 004
A Breakthrough Brought by Forbidden Master and Disciple Ch.001
A Fairytale for the Demon Lord    Chapter 020
A Gust of Wind Blows at Daybreak Ch.005 - Knowing ...
A Journey to The Past       Ch.146
A Legend of The Wind       Ch.027 - Cover ...
A New World Awaits Vol.001 Ch.002: ...
A Post-Apocalyptic Journey    Ch.121 - Transformation ...
A Pretty's Super Zombie    Episode 084
A Returner's Magic Should Be Special       Chapter 106
A Skeleton who was The Brave    Vol. 001 Ch.003 ...
A Thousand Petals Ch.014
A Thousand Years Ninetails    Chapter 126
A Witch's Printing Office A Witch's Printing ...
Genres Adventure

If a character in the story goes on a trip or along that line, your best bet is that it is an adventure manga. Otherwise, it's up to your personal prejudice on this case.