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
1/2 Prince    Game 080
10 Years after saying “Leave this to me and go”, I Became a Legend.    Ch.005.005
1001    Vol.006 Ch.024
100-man no Inochi no Ue ni Ore wa Tatte Iru    Chapter 029
100-nin no Eiyuu o Sodateta Saikyou Yogensha wa       Chapter 007.001
12 Beast    Ch.029
2001 + 5 Completed
22xx Completed
29-sai Dokushin wa Isekai de Jiyuu ni Ikita……katta.    Chapter 004.003
29-sai Hitorimi Chuuken Boukensha no Nichijou Vol. 004 Ch.016 ...
3x3 Eyes Completed
4 Cut Hero    Ch.156
666 Satan    Completed
6-gou Keibi    Vol. 001 Ch.003 ...
7 seeds    Completed
7 Seeds Gaiden Completed
9 Banme no Musashi Completed
A Book of Dreams Vol.004 Ch.025 Read ...
A Boy Who Has Been Reincarnated Twice Spends Peacefully as an S-Rank Adventurer    Chapter 003
A Fairytale for the Demon Lord    Chapter 020
A Gust of Wind Blows at Daybreak Ch.005 - Knowing ...
A Journey to The Past    Ch.142 - The Onmyouji ...
A New World Awaits Vol.001 Ch.002: ...
A Post-Apocalyptic Journey       Ch.113 - Crossing ...
A Returner's Magic Should Be Special    Chapter 082
A Thousand Petals Ch.014
A Thousand Years Ninetails    Chapter 126
A Witch's Printing Office A Witch's Printing ...
A World That I Rule    Completed
Abenobashi Mahou Shoutengai Completed
Abide in the Wind    Ch. 140:
Ability    060
Above the Cloud Sea    ch.027.002
Absolute Witch    Completed
Acaria Completed
Ad Astra - Scipio to Hannibal Vol. 009 Ch.057 ...
Adabana Completed
Advent of Snow White to Hell Advent Of Snow White ...
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.